Notice that the ratio was amplified by a factor. This factor is unknown, and we'll call it x. This way,
[tex]6\colon8\rightarrow6x\colon8x\rightarrow r\colon48[/tex]Now, from here we can extract two things:
1.
[tex]6x=r[/tex]2.
[tex]8x=48[/tex]From the second fact we can get our amplification factor!
[tex]8x=48\rightarrow x=\frac{48}{8}\Rightarrow x=6[/tex]And then, we can find r :
[tex]6x=r\rightarrow6(6)=r\rightarrow36=r[/tex]Thereby, we can conclude that r is 36
