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Finding the Fourth Proportional to 6,592.86, 9,879.49 and 6,429.87

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Solution

The fourth proportional to 6,592.86, 9,879.49 and 6,429.87 is: 9,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.86 : 9,879.49 = 6,429.87 : x
  2. Step 2: Convert to fraction form
    6,592.86/9,879.49 = 6,429.87/x
  3. Step 3: Cross multiply
    6,592.86x = 9,879.49 × 6,429.87
  4. Step 4: Simplify right side
    6,592.86x = 63,523,836.37
  5. Step 5: Solve for x
    x = 63,523,836.37/6,592.86
  6. Step 6: Final answer
    x = 9,635.25

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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.