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Finding the Fourth Proportional to 12,227.52, 16,874.28 and 6,922.38

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Solution

The fourth proportional to 12,227.52, 16,874.28 and 6,922.38 is: 9,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.52 : 16,874.28 = 6,922.38 : x
  2. Step 2: Convert to fraction form
    12,227.52/16,874.28 = 6,922.38/x
  3. Step 3: Cross multiply
    12,227.52x = 16,874.28 × 6,922.38
  4. Step 4: Simplify right side
    12,227.52x = 116,810,178.39
  5. Step 5: Solve for x
    x = 116,810,178.39/12,227.52
  6. Step 6: Final answer
    x = 9,553.06

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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.