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Finding the Fourth Proportional to 10,785.40, 16,178.10 and 10,593.40

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Solution

The fourth proportional to 10,785.40, 16,178.10 and 10,593.40 is: 15,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.40 : 16,178.10 = 10,593.40 : x
  2. Step 2: Convert to fraction form
    10,785.40/16,178.10 = 10,593.40/x
  3. Step 3: Cross multiply
    10,785.40x = 16,178.10 × 10,593.40
  4. Step 4: Simplify right side
    10,785.40x = 171,381,084.54
  5. Step 5: Solve for x
    x = 171,381,084.54/10,785.40
  6. Step 6: Final answer
    x = 15,890.10

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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.