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Determine which cross products are proportionate to each other. Select all situations that apply.


1/2 = 2/24

3/8y = 9/24y

4 = 64/16

x/y = y/x

3z/x = 9z/3x

Verified Answer :

3/8y = 9/24 since 33=9 and 83=24
4 = 64/16 since 164=64
3z/x = 9z/3x since 3z
3=9z and x*3=3x

Answer:

Part 1) \(\frac{1}{2} =\frac{2}{24}\)

\(\frac{2}{24}\) is \(\frac{1}{12}\) in reduced form .

\(\frac{1}{2} =\frac{2}{24}\)

\(\frac{1}{2} eq\frac{1}{12}\)

These are not proportionate to each other

Part 2) \(\frac{3}{8}y =\frac{9}{24}y\)

\(\frac{9}{24}y\) is \(\frac{3}{8}y\) in reduced form .

So,  \(\frac{3}{8}y =\frac{9}{24}y\)

So, these are proportionate to each other .

Part 3) \(4 =\frac{64}{16}\)

\(\frac{64}{16}\) is \(\frac{4}{1}\) in reduced form .

So,  \(4 =\frac{64}{16}\)

So, these are proportionate to each other .

Part 4) \(\frac{x}{y} =\frac{y}{x}\)

Since we cannot reduce \(\frac{x}{y}\) into \(\frac{y}{x}\) and vice versa.

So, These are not proportionate to each other

Part 5) \(\frac{3z}{x} =\frac{9z}{3x}\)

\(\frac{9z}{3x}\) is \(\frac{3z}{x}\) in reduced form .

So, \(\frac{3z}{x} =\frac{9z}{3x}\)

So, these are proportionate to each other .