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Finding the Fourth Proportional to 10,600.13, 15,900.21 and 5,983.13

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Solution

The fourth proportional to 10,600.13, 15,900.21 and 5,983.13 is: 8,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.13 : 15,900.21 = 5,983.13 : x
  2. Step 2: Convert to fraction form
    10,600.13/15,900.21 = 5,983.13/x
  3. Step 3: Cross multiply
    10,600.13x = 15,900.21 × 5,983.13
  4. Step 4: Simplify right side
    10,600.13x = 95,132,943.96
  5. Step 5: Solve for x
    x = 95,132,943.96/10,600.13
  6. Step 6: Final answer
    x = 8,974.70

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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.