What denominator for 213=49? would make these ratios proportional?(1 point)
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The denominator that would make the ratios proportional is 7.
To determine the denominator that would make the ratios proportionate, we need to find a common ratio between the two quantities.
To find this common ratio, we divide the numerator of one ratio by the numerator of the other ratio. In this case, we divide 213 by 49:
213 / 49 = 4.3469 (rounded to four decimal places)
We can see that the common ratio between the two quantities is approximately 4.3469.
To make the ratios proportional, we need to find a denominator that, when multiplied by both numerators, results in a ratio of 4.3469. We can achieve this by dividing the numerator by the common ratio.
So, to find the denominator, we divide 49 by 4.3469:
49 / 4.3469 ≈ 11.2816 (rounded to four decimal places)
Therefore, the denominator that would make these ratios proportional is approximately 11.2816.
To find the denominator that would make the ratios proportional, we need to set up the proportion and solve for the unknown denominator.
Let the unknown denominator be represented by "x".
The given ratio is:
213 / 49
To make this ratio proportional, we need to set it equal to another ratio, for example:
213 / 49 = a / x
Now we can cross-multiply:
213 * x = 49 * a
213x = 49a
To find the value of "x" that satisfies this equation, we need more information about the value of "a".