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Finding the Fourth Proportional to 5,706.86, 8,562.11 and 4,474.85

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Solution

The fourth proportional to 5,706.86, 8,562.11 and 4,474.85 is: 6,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.86 : 8,562.11 = 4,474.85 : x
  2. Step 2: Convert to fraction form
    5,706.86/8,562.11 = 4,474.85/x
  3. Step 3: Cross multiply
    5,706.86x = 8,562.11 × 4,474.85
  4. Step 4: Simplify right side
    5,706.86x = 38,314,092.75
  5. Step 5: Solve for x
    x = 38,314,092.75/5,706.86
  6. Step 6: Final answer
    x = 6,713.70

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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.