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Finding the Fourth Proportional to 7,226.03, 9,972.73 and 4,082.42

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Solution

The fourth proportional to 7,226.03, 9,972.73 and 4,082.42 is: 5,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.03 : 9,972.73 = 4,082.42 : x
  2. Step 2: Convert to fraction form
    7,226.03/9,972.73 = 4,082.42/x
  3. Step 3: Cross multiply
    7,226.03x = 9,972.73 × 4,082.42
  4. Step 4: Simplify right side
    7,226.03x = 40,712,872.41
  5. Step 5: Solve for x
    x = 40,712,872.41/7,226.03
  6. Step 6: Final answer
    x = 5,634.20

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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.