Final answer:
By finding the ratio of diamonds needed per chandelier, we can calculate the amount of diamonds needed for 4 and 10 chandeliers respectively. With 13 diamonds per chandelier, we find that 52 diamonds are needed for 4 chandeliers, and 130 diamonds are needed for 10 chandeliers.
Step-by-step explanation:
To find the equivalent ratios, we need to create a consistent relationship between the given number of diamonds and the number of chandeliers. In the given information, it is shown that 39 diamonds are needed for 3 chandeliers.
So, the ratio of diamonds to chandeliers is 39/3=13. This means that for every chandelier made, 13 diamonds are necessary.
To find out how many diamonds are needed for 4 chandeliers, we should multiply 13 (the number of diamonds needed per chandelier) by 4. The result would be 52. Similarly, for 10 chandeliers, we multiply 13 by 10 to get 130.
So, the completed table will look like this: Number of diamonds Number of chandeliers, 39 - 3, 52 - 4, 130 - 10.
Learn more about Equivalent Ratios