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Finding the Fourth Proportional to 5,961.74, 8,229.53 and 4,473.97

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Solution

The fourth proportional to 5,961.74, 8,229.53 and 4,473.97 is: 6,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.74 : 8,229.53 = 4,473.97 : x
  2. Step 2: Convert to fraction form
    5,961.74/8,229.53 = 4,473.97/x
  3. Step 3: Cross multiply
    5,961.74x = 8,229.53 × 4,473.97
  4. Step 4: Simplify right side
    5,961.74x = 36,818,675.03
  5. Step 5: Solve for x
    x = 36,818,675.03/5,961.74
  6. Step 6: Final answer
    x = 6,175.83

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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.