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Finding the Fourth Proportional to 12,642.38, 18,963.57 and 7,023.61

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Solution

The fourth proportional to 12,642.38, 18,963.57 and 7,023.61 is: 10,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.38 : 18,963.57 = 7,023.61 : x
  2. Step 2: Convert to fraction form
    12,642.38/18,963.57 = 7,023.61/x
  3. Step 3: Cross multiply
    12,642.38x = 18,963.57 × 7,023.61
  4. Step 4: Simplify right side
    12,642.38x = 133,192,730.42
  5. Step 5: Solve for x
    x = 133,192,730.42/12,642.38
  6. Step 6: Final answer
    x = 10,535.42

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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.