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Finding the Fourth Proportional to 7,227.62, 9,974.31 and 4,083.74

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Solution

The fourth proportional to 7,227.62, 9,974.31 and 4,083.74 is: 5,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.62 : 9,974.31 = 4,083.74 : x
  2. Step 2: Convert to fraction form
    7,227.62/9,974.31 = 4,083.74/x
  3. Step 3: Cross multiply
    7,227.62x = 9,974.31 × 4,083.74
  4. Step 4: Simplify right side
    7,227.62x = 40,732,488.72
  5. Step 5: Solve for x
    x = 40,732,488.72/7,227.62
  6. Step 6: Final answer
    x = 5,635.67

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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.