what denminator for 21/3=49/_ would make these ratios proportional?
To make the ratios proportional, we can set up a proportion:
21/3 = 49/x
Now, we can solve for x by cross-multiplying:
21x = 3 * 49
Simplifying the right side:
21x = 147
Dividing both sides by 21:
x = 147 / 21
Simplifying the fraction:
x = 7
So, the denominator that would make the ratios proportional is 7.
To find the unknown denominator that would make the ratios proportional, we can set up a proportion based on the given information.
The ratio 21/3 can be written as 21:3. To make it proportional to the ratio 49:x, we need to find the value of x.
Setting up the proportion:
21/3 = 49/x
Now we can solve for x by cross-multiplying:
21x = 3 * 49
Multiplying 3 by 49 gives us:
21x = 147
To isolate x, divide both sides of the equation by 21:
x = 147 รท 21
Simplifying the division:
x = 7
Therefore, the denominator 7 would make the ratios 21/3 and 49/7 proportional.
To determine the denominator that would make the ratios proportional in the equation 21/3 = 49/_, you need to find the missing value that would make the two ratios equal. In this case, the first step is to cross-multiply.
Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio. So, we have:
(21)(_) = (3)(49)
To find the denominator, we need to solve the equation for the missing value (_). We can do this by dividing both sides of the equation by 21, which will isolate the missing value:
(_) = (3)(49) / 21
Now, we can simplify the equation:
(_) = 147 / 21
To reduce the fraction to its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 21:
(_) = 7
Therefore, a denominator of 7 makes the two ratios proportional in the equation 21/3 = 49/7.