Which value makes the ratios equal: 4 to 6 and x/48?

2 Answers
Apr 4, 2018

Answer:

#x=32#

Explanation:

#4/6=x/48 rarr# Set the ratios equal to one another

#4/6=2/3 rarr# Simplify the first fraction

#2/3=x/48 rarr# Cross multiply

#2*48=3*x#

#96=3x#

#x=32#

Apr 4, 2018

Answer:

#x = 32#

Here's how I did it:

Explanation:

To solve this, we set up a proportion:
#4/6 = x/48#

Now, we use this method called cross multiplication:
study.com
(study.com)

As you can see from this image, we multiply #4# with #48# and #6# with #x#:
#4*48 = 6x#

#192 = 6x#

And finally divide both sides by #6#:
#x = 32#

Hope this helps!