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Finding the Fourth Proportional to 10,586.97, 15,896.08 and 5,916.15

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Solution

The fourth proportional to 10,586.97, 15,896.08 and 5,916.15 is: 8,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.97 : 15,896.08 = 5,916.15 : x
  2. Step 2: Convert to fraction form
    10,586.97/15,896.08 = 5,916.15/x
  3. Step 3: Cross multiply
    10,586.97x = 15,896.08 × 5,916.15
  4. Step 4: Simplify right side
    10,586.97x = 94,043,593.69
  5. Step 5: Solve for x
    x = 94,043,593.69/10,586.97
  6. Step 6: Final answer
    x = 8,882.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.