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Finding the Fourth Proportional to 11,073.14, 16,616.54 and 6,402.38

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Solution

The fourth proportional to 11,073.14, 16,616.54 and 6,402.38 is: 9,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.14 : 16,616.54 = 6,402.38 : x
  2. Step 2: Convert to fraction form
    11,073.14/16,616.54 = 6,402.38/x
  3. Step 3: Cross multiply
    11,073.14x = 16,616.54 × 6,402.38
  4. Step 4: Simplify right side
    11,073.14x = 106,385,336.29
  5. Step 5: Solve for x
    x = 106,385,336.29/11,073.14
  6. Step 6: Final answer
    x = 9,607.51

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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.