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Finding the Fourth Proportional to 12,306.60, 16,974.36 and 7,592.40

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Solution

The fourth proportional to 12,306.60, 16,974.36 and 7,592.40 is: 10,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.60 : 16,974.36 = 7,592.40 : x
  2. Step 2: Convert to fraction form
    12,306.60/16,974.36 = 7,592.40/x
  3. Step 3: Cross multiply
    12,306.60x = 16,974.36 × 7,592.40
  4. Step 4: Simplify right side
    12,306.60x = 128,876,130.86
  5. Step 5: Solve for x
    x = 128,876,130.86/12,306.60
  6. Step 6: Final answer
    x = 10,472.12

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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.