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Finding the Fourth Proportional to 7,226.57, 9,972.72 and 4,082.83

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Solution

The fourth proportional to 7,226.57, 9,972.72 and 4,082.83 is: 5,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.57 : 9,972.72 = 4,082.83 : x
  2. Step 2: Convert to fraction form
    7,226.57/9,972.72 = 4,082.83/x
  3. Step 3: Cross multiply
    7,226.57x = 9,972.72 × 4,082.83
  4. Step 4: Simplify right side
    7,226.57x = 40,716,920.40
  5. Step 5: Solve for x
    x = 40,716,920.40/7,226.57
  6. Step 6: Final answer
    x = 5,634.34

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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.