What denominator for 21/3=49/? would make these ratios proportional?(1 point)
The denominator that would make the ratios proportional is 7.
To determine the missing denominator that would make the ratios proportional, we can set up a proportion equation.
The given ratios are:
21/3 = 49/?
To make the ratios proportional, we need to find the missing denominator. We can cross-multiply to solve for it.
Cross-multiplication means multiplying the numerator of one fraction by the denominator of the other fraction.
Using the given ratios:
(21)(?) = (3)(49)
Now we can solve for the missing denominator:
21? = 147
To isolate the "?" variable, we need to divide both sides of the equation by 21:
? = 147/21
Simplifying this further:
? = 7
Therefore, the missing denominator that would make the ratios proportional is 7.
To determine the denominator that would make the ratios proportional, we can set up a proportion and solve for the unknown denominator.
The given ratio is 21/3 = 49/?.
To make the ratios proportional, we need the two fractions to have equal ratios.
Setting up the proportion, we have:
21/3 = 49/x
To solve for x, we can cross-multiply:
21 * x = 3 * 49
Simplifying the equation, we have:
21x = 147
Dividing both sides of the equation by 21, we get:
x = 147/21
Simplifying the fraction, we have:
x = 7
So, the denominator that would make the ratios proportional is 7.