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Finding the Fourth Proportional to 6,488.91, 9,724.14 and 5,002.50

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Solution

The fourth proportional to 6,488.91, 9,724.14 and 5,002.50 is: 7,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.91 : 9,724.14 = 5,002.50 : x
  2. Step 2: Convert to fraction form
    6,488.91/9,724.14 = 5,002.50/x
  3. Step 3: Cross multiply
    6,488.91x = 9,724.14 × 5,002.50
  4. Step 4: Simplify right side
    6,488.91x = 48,645,010.35
  5. Step 5: Solve for x
    x = 48,645,010.35/6,488.91
  6. Step 6: Final answer
    x = 7,496.64

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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.