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Finding the Fourth Proportional to 6,647.62, 9,972.24 and 2,754.76

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Solution

The fourth proportional to 6,647.62, 9,972.24 and 2,754.76 is: 4,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.62 : 9,972.24 = 2,754.76 : x
  2. Step 2: Convert to fraction form
    6,647.62/9,972.24 = 2,754.76/x
  3. Step 3: Cross multiply
    6,647.62x = 9,972.24 × 2,754.76
  4. Step 4: Simplify right side
    6,647.62x = 27,471,127.86
  5. Step 5: Solve for x
    x = 27,471,127.86/6,647.62
  6. Step 6: Final answer
    x = 4,132.48

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1.5x scale

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.