Respuesta :
Answer:
k = 5
Step-by-step explanation:
Step 1: Cross multiply
k/6 = 15/18
k(18) = 6(15)
18k = 90
Step 2: Divide both sides by 18
18k / 18 = 90 / 18
k = 5
Answer: k = 5
Another way to do it is to multiply both sides by 6
k/6 * 6 = 15/18 * 6
k = 90 / 18
k = 5
Answer: 5
Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).
So we have (k)(18) or 18k = (6)(15) or 90.
Now we have the equation 18k = 90.
Dividing both sides by 18, k = 5.
It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.
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