Question

Find the number which has the same ratio with 4\9 as 2\11 has with 7\33

Answer 1

Let the number be
$x$

Given:
$\frac{ \frac{2}{11} }{ \frac{7}{33} } = \frac{x}{ \frac{4}{9} } \\ \frac{6}{7} = \frac{x}{ \frac{4}{9} }$
Which implies ,
$x = \frac{6}{7} \times \frac{4}{9}$
Therefore,
$x = \frac{8}{21}$

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