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Finding the Fourth Proportional to 6,647.28, 9,972 and 2,488.74

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Solution

The fourth proportional to 6,647.28, 9,972 and 2,488.74 is: 3,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.28 : 9,972 = 2,488.74 : x
  2. Step 2: Convert to fraction form
    6,647.28/9,972 = 2,488.74/x
  3. Step 3: Cross multiply
    6,647.28x = 9,972 × 2,488.74
  4. Step 4: Simplify right side
    6,647.28x = 24,817,715.28
  5. Step 5: Solve for x
    x = 24,817,715.28/6,647.28
  6. Step 6: Final answer
    x = 3,733.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.