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Finding the Fourth Proportional to 6,865.97, 9,474.87 and 3,881.82

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Solution

The fourth proportional to 6,865.97, 9,474.87 and 3,881.82 is: 5,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.97 : 9,474.87 = 3,881.82 : x
  2. Step 2: Convert to fraction form
    6,865.97/9,474.87 = 3,881.82/x
  3. Step 3: Cross multiply
    6,865.97x = 9,474.87 × 3,881.82
  4. Step 4: Simplify right side
    6,865.97x = 36,779,789.95
  5. Step 5: Solve for x
    x = 36,779,789.95/6,865.97
  6. Step 6: Final answer
    x = 5,356.83

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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.