What is the solution of the proportion 22/11=r/13?
22 / 11 = 2
That's why
22 / 11 = r / 13
becomes:
2 = r / 13
Multiply both sides by 13
13 ∙ 2 = r
26 = r
r = 26
To solve the proportion 22/11 = r/13, we can cross-multiply.
First, multiply the numerator of the first fraction (22) by the denominator of the second fraction (13):
22 * 13 = 286
Next, multiply the numerator of the second fraction (11) by the denominator of the first fraction (r):
11 * r = 11r
Now, set these two products equal to each other:
286 = 11r
To isolate r, divide both sides of the equation by 11:
286/11 = r
The solution is:
r = 26
To find the solution of the proportion 22/11=r/13, we can use the property of proportions that states: "In a proportion, the product of the means is equal to the product of the extremes."
In this case, the means are 11 and r, while the extremes are 22 and 13. So we can write the proportion as:
11*r = 22*13
To solve for r, we need to isolate it on one side of the equation. First, simplify the right side of the equation:
11*r = 286
Next, divide both sides of the equation by 11 to solve for r:
r = 286/11
Calculating the value of this expression, we get:
r ≈ 26
Therefore, the solution to the proportion 22/11=r/13 is r ≈ 26.