Question

which ratios can make a proportion. 3/5 and 9/25. 4/10 and 10/25. 4/11 and 6/13. 4/9 and 9/4

Answer 1

The ratios that they can make a proportion will be that which

$\begin{gathered} \frac{a}{b}=r=\frac{c}{d} \\ \text{ Where r is the constant of proportionality} \end{gathered}$

So, you have

First ratios

$\frac{3}{5}=0.6\ne0.36=\frac{9}{25}$

Second ratios

$\frac{4}{10}=0.4=\frac{10}{25}$

Third ratios

$\frac{4}{11}=0.36\ne0.46=\frac{6}{13}$

Fourth ratios

$\frac{4}{9}=0.4\ne2.25=\frac{9}{4}$

Then, as you can see, the ratios that share a constant of proportionality and that make a proportion are

$\frac{4}{10}\text{ and }\frac{10}{25}$

Therefore, that is the correct answer.