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Finding the Fourth Proportional to 6,647.27, 9,972 and 2,488.73

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Solution

The fourth proportional to 6,647.27, 9,972 and 2,488.73 is: 3,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.27 : 9,972 = 2,488.73 : x
  2. Step 2: Convert to fraction form
    6,647.27/9,972 = 2,488.73/x
  3. Step 3: Cross multiply
    6,647.27x = 9,972 × 2,488.73
  4. Step 4: Simplify right side
    6,647.27x = 24,817,615.56
  5. Step 5: Solve for x
    x = 24,817,615.56/6,647.27
  6. Step 6: Final answer
    x = 3,733.50

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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.