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Finding the Fourth Proportional to 7,244.88, 9,972.56 and 6,311.76

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Solution

The fourth proportional to 7,244.88, 9,972.56 and 6,311.76 is: 8,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.88 : 9,972.56 = 6,311.76 : x
  2. Step 2: Convert to fraction form
    7,244.88/9,972.56 = 6,311.76/x
  3. Step 3: Cross multiply
    7,244.88x = 9,972.56 × 6,311.76
  4. Step 4: Simplify right side
    7,244.88x = 62,944,405.31
  5. Step 5: Solve for x
    x = 62,944,405.31/7,244.88
  6. Step 6: Final answer
    x = 8,688.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.