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Finding the Fourth Proportional to 7,227.83, 9,974.14 and 4,084.02

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Solution

The fourth proportional to 7,227.83, 9,974.14 and 4,084.02 is: 5,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.83 : 9,974.14 = 4,084.02 : x
  2. Step 2: Convert to fraction form
    7,227.83/9,974.14 = 4,084.02/x
  3. Step 3: Cross multiply
    7,227.83x = 9,974.14 × 4,084.02
  4. Step 4: Simplify right side
    7,227.83x = 40,734,577.03
  5. Step 5: Solve for x
    x = 40,734,577.03/7,227.83
  6. Step 6: Final answer
    x = 5,635.79

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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.