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Finding the Fourth Proportional to 7,226.48, 9,972.24 and 4,082.78

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Solution

The fourth proportional to 7,226.48, 9,972.24 and 4,082.78 is: 5,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.48 : 9,972.24 = 4,082.78 : x
  2. Step 2: Convert to fraction form
    7,226.48/9,972.24 = 4,082.78/x
  3. Step 3: Cross multiply
    7,226.48x = 9,972.24 × 4,082.78
  4. Step 4: Simplify right side
    7,226.48x = 40,714,462.03
  5. Step 5: Solve for x
    x = 40,714,462.03/7,226.48
  6. Step 6: Final answer
    x = 5,634.07

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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.