Do these ratios form a proportion?
4,000 large notebooks : 58,000 small notebooks
6,000 large notebooks : 87,000 small notebooks
To determine if the ratios form a proportion, we can cross-multiply and see if the products are equal.
For the first ratio, 4,000 large notebooks to 58,000 small notebooks, cross-multiplying gives us:
4,000 * 87,000 = 58,000 * 6,000
348,000,000 = 348,000,000
Since the products are equal, the first ratio forms a proportion.
For the second ratio, 6,000 large notebooks to 87,000 small notebooks, cross-multiplying gives us:
6,000 * 58,000 = 87,000 * x
348,000,000 = 87,000 * x
Solving for x:
348,000,000 รท 87,000 = x
4,000 = x
Therefore, the value of x is 4,000. Since the second ratio satisfies the equation, it also forms a proportion.