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<div style="text-align: justify;"><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Si un número aumenta en <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a«/mi»«mo»%«/mo»«/math»</span> resulta <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b«/mi»«/math»</span>. Entonces, el número es: </span></font><font class="Apple-style-span" size="4" style="font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span" color="#666666">{1:SA:=\#sol#</font></font><font class="Apple-style-span" size="4" style="font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span" color="#666666"><font size="4" style="font-family: times new roman,times,serif;">¡Excelente!</font></font></font><font class="Apple-style-span" size="4" style="font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span" color="#666666"><font size="4"><span style="font-family: times new roman,times,serif;">}</span></font><br /><br /></font></font><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span></div>
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<div style="text-align: justify;"><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Solución:</span></font><br style="font-family: times new roman,times,serif;" /><font size="4" style="font-style: italic;"><br style="font-family: times new roman,times,serif;" /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Para resolver, debemos darnos cuenta que si aumentamos el número en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mo»%«/mo»«/math»</span>, entonces <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span> corresponde al <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#c«/mi»«mo»%«/mo»«/math»</span></font><font size="4" style="font-style: italic;">.<br style="font-family: times new roman,times,serif;" /></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Luego, podemos ordenar todos los datos en la siguiente tabla:<br /><br /></font></div> <table width="100%" style="text-align: left; font-family: times new roman,times,serif; font-style: italic; margin-right: 0px; margin-left: 0px;" border="2"><tbody> <tr> <td width="50%" valign="top" style="text-align: center;"><font size="4">Porcentaje<br /></font> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4">Número<br /></font> </td> </tr> <tr> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mn»100«/mn»«mo»%«/mo»«/math»</span><br /></font> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span><br /></font> </td> </tr> <tr> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#c«/mi»«mo»%«/mo»«/math»</span><br /></font> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span><br /></font> </td> </tr></tbody> </table> <div style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><br /></font><font size="4">Como los porcentajes corresponden a variaciones directamente proporcionales, podemos resolver aplicando el teorema fundamental de las proporciones.</font><font size="4"><br /><br /></font><font size="4">Entonces, <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»100«/mn»«mo»·«/mo»«mi»#b«/mi»«/mrow»«mrow»«mi»#c«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></font><font size="4"><br /><br />Por tanto, si <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#sol«/mi»«/math»</span> aumenta en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mo»%«/mo»«/math»</span> resulta <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span>.</font></div>
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