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Finding the Fourth Proportional to 6,488.77, 9,733.31 and 2,539.86

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Solution

The fourth proportional to 6,488.77, 9,733.31 and 2,539.86 is: 3,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.77 : 9,733.31 = 2,539.86 : x
  2. Step 2: Convert to fraction form
    6,488.77/9,733.31 = 2,539.86/x
  3. Step 3: Cross multiply
    6,488.77x = 9,733.31 × 2,539.86
  4. Step 4: Simplify right side
    6,488.77x = 24,721,244.74
  5. Step 5: Solve for x
    x = 24,721,244.74/6,488.77
  6. Step 6: Final answer
    x = 3,809.85

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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.