I need help with proportions. Can someone explain to methis whole mn=pq thing or x/3=4/6 I don't understand how to di it. Please help! :)

m is to n as p is to q.

m/n=p/q

you can solve for any of the four in terms of the others:
m= np/q
p=mq/n
n=mq/p
q=np/m

Proportions are a way of comparing two sets of numbers or quantities. In a proportion, the relationship between the numbers in each set remains the same. The most common way to write a proportion is using a fraction or ratio format.

Let's break down the examples you provided:

1. mn = pq

In this case, "m" and "n" have a proportional relationship to "p" and "q." This can be read as "m is to n as p is to q." To solve for any unknown variable, you can rearrange the equation.

For example, if you want to solve for "m," you can isolate it by dividing both sides of the equation by "n":

mn/n = pq/n
m = pq/n

Similarly, you can solve for "p," "n," or "q" by rearranging the equation accordingly.

2. x/3 = 4/6

In this example, we have a proportion relating "x" to the ratio of 4 to 6. To solve for "x," we can cross-multiply and then solve for "x."

Start by multiplying both sides of the equation by 3:

(x/3) * 3 = (4/6) * 3
x = (4/6) * 3

Next, simplify the right side of the equation:

x = (2/3) * 3

Now, multiply the fractions:

x = 2

So, in this case, x = 2.

Remember that proportions are about expressing a relationship between two sets of numbers or quantities. By understanding the concept and the steps to solve for unknown variables, you can successfully work with proportions.