What denominator for 21/3=49/ ?

Question

would make these ratios proportional?(1 point)

Answer 1

To find the denominator that would make the ratios \( \frac{21}{3} \) and \( \frac{49}{x} \) proportional, we can set up the equation:

\[ \frac{21}{3} = \frac{49}{x} \]

First, we can simplify \( \frac{21}{3} \):

\[ \frac{21}{3} = 7 \]

Now we have:

\[ 7 = \frac{49}{x} \]

Next, we can cross-multiply to solve for \( x \):

\[ 7x = 49 \]

Now, divide both sides by 7:

\[ x = \frac{49}{7} = 7 \]

Therefore, the denominator that would make the ratios proportional is \( 7 \).