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Finding the Fourth Proportional to 9,447.75, 14,174.16 and 8,414.85

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Solution

The fourth proportional to 9,447.75, 14,174.16 and 8,414.85 is: 12,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.75 : 14,174.16 = 8,414.85 : x
  2. Step 2: Convert to fraction form
    9,447.75/14,174.16 = 8,414.85/x
  3. Step 3: Cross multiply
    9,447.75x = 14,174.16 × 8,414.85
  4. Step 4: Simplify right side
    9,447.75x = 119,273,430.28
  5. Step 5: Solve for x
    x = 119,273,430.28/9,447.75
  6. Step 6: Final answer
    x = 12,624.53

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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.