Question

Os segmentos Ab , CD , MN e PQ são proporcionais . Calcule MN sabendo que AB=6 , CD= 14 e PQ = 21
AB/CD = MN/PQ

Answer 1

Estabelecendo a proporcionalidade indicada e usando os valores correspopndente

              $\frac{AB}{CD} = \frac{MN}{PQ} \\ \\ \frac{6}{14}= \frac{MN}{21} \\ \\ MN= \frac{6x21}{14}$

                                           $MN = 9$

Answer 2

AB = 6
CD = 14
PQ = 21
MN = ?

$\dfrac{AB}{CD} = \dfrac{MN}{PQ} \to\\\\ \dfrac{6}{14} = \dfrac{MN}{21} \to~~ multiplique~~cruzado:\\\\14~MN=6\times21\to\\\\ 14~MN=126\to\\\\ MN= \dfrac{126}{14} \to\\\\ \large\boxed{MN=9}$