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Finding the Fourth Proportional to 7,174.67, 10,761.98 and 1,909.68

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Solution

The fourth proportional to 7,174.67, 10,761.98 and 1,909.68 is: 2,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.67 : 10,761.98 = 1,909.68 : x
  2. Step 2: Convert to fraction form
    7,174.67/10,761.98 = 1,909.68/x
  3. Step 3: Cross multiply
    7,174.67x = 10,761.98 × 1,909.68
  4. Step 4: Simplify right side
    7,174.67x = 20,551,902.38
  5. Step 5: Solve for x
    x = 20,551,902.38/7,174.67
  6. Step 6: Final answer
    x = 2,864.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.