Question

Fill in the blank $\frac{9}{14}=\frac{4.5}{..}=\frac{..}{42}=\frac{..}{3.5}$

Answer 1

Solution:-

$\frac{9}{14}=\frac{4.5}{..}=\frac{..}{42}=\frac{..}{3.5}$

Let $\frac{9}{14}=\frac{4.5}{a}=\frac{b}{42}=\frac{c}{3.5}$

$\frac{9}{14}=\frac{4.5}{a}$

$\Rightarrow 9a=4.5\times 14$

$\Rightarrow a=\frac{4.5\times 14}{9}=7$

$\frac{9}{14}=\frac{b}{42}$

$\Rightarrow 14b=9\times 42$

$\Rightarrow b=\frac{9\times 42}{14}=27$

$\frac{9}{14}=\frac{c}{3.5}$

$\Rightarrow c=\frac{9\times 3.5}{14}=2.25$

Hence the correct ratio is-

$\frac{9}{14}=\frac{4.5}{7}=\frac{27}{42}=\frac{2.25}{3.5}$