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Finding the Fourth Proportional to 8,586.86, 12,861.27 and 6,597.85

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Solution

The fourth proportional to 8,586.86, 12,861.27 and 6,597.85 is: 9,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.86 : 12,861.27 = 6,597.85 : x
  2. Step 2: Convert to fraction form
    8,586.86/12,861.27 = 6,597.85/x
  3. Step 3: Cross multiply
    8,586.86x = 12,861.27 × 6,597.85
  4. Step 4: Simplify right side
    8,586.86x = 84,856,729.43
  5. Step 5: Solve for x
    x = 84,856,729.43/8,586.86
  6. Step 6: Final answer
    x = 9,882.16

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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.