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Finding the Fourth Proportional to 7,202.64, 9,939.84 and 3,972.30

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Solution

The fourth proportional to 7,202.64, 9,939.84 and 3,972.30 is: 5,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.64 : 9,939.84 = 3,972.30 : x
  2. Step 2: Convert to fraction form
    7,202.64/9,939.84 = 3,972.30/x
  3. Step 3: Cross multiply
    7,202.64x = 9,939.84 × 3,972.30
  4. Step 4: Simplify right side
    7,202.64x = 39,484,026.43
  5. Step 5: Solve for x
    x = 39,484,026.43/7,202.64
  6. Step 6: Final answer
    x = 5,481.88

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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.