To find the number that makes the ratio equivalent to 1:6 and 9: x, we can proceed as follows:
[tex]\frac{1}{6}\colon\frac{9}{x}_{}\Rightarrow x\cdot1=9\cdot6\Rightarrow x=54[/tex]We can check this result as follows:
[tex]\frac{1}{6}\colon\frac{9}{54}\Rightarrow\frac{9}{54}=\frac{1}{6}\Rightarrow\frac{1}{6}=\frac{9}{54}[/tex]Then, the value that makes the ratio equivalent to 1:6 is 54 (9:54.) The number is 54.
