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Finding the Fourth Proportional to 10,715.68, 14,794.68 and 6,531.04

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Solution

The fourth proportional to 10,715.68, 14,794.68 and 6,531.04 is: 9,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.68 : 14,794.68 = 6,531.04 : x
  2. Step 2: Convert to fraction form
    10,715.68/14,794.68 = 6,531.04/x
  3. Step 3: Cross multiply
    10,715.68x = 14,794.68 × 6,531.04
  4. Step 4: Simplify right side
    10,715.68x = 96,624,646.87
  5. Step 5: Solve for x
    x = 96,624,646.87/10,715.68
  6. Step 6: Final answer
    x = 9,017.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.