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Finding the Fourth Proportional to 8,951.76, 12,351.42 and 5,414.94

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Solution

The fourth proportional to 8,951.76, 12,351.42 and 5,414.94 is: 7,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.76 : 12,351.42 = 5,414.94 : x
  2. Step 2: Convert to fraction form
    8,951.76/12,351.42 = 5,414.94/x
  3. Step 3: Cross multiply
    8,951.76x = 12,351.42 × 5,414.94
  4. Step 4: Simplify right side
    8,951.76x = 66,882,198.21
  5. Step 5: Solve for x
    x = 66,882,198.21/8,951.76
  6. Step 6: Final answer
    x = 7,471.40

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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.