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Finding the Fourth Proportional to 6,822.62, 9,414.90 and 4,170.27

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Solution

The fourth proportional to 6,822.62, 9,414.90 and 4,170.27 is: 5,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.62 : 9,414.90 = 4,170.27 : x
  2. Step 2: Convert to fraction form
    6,822.62/9,414.90 = 4,170.27/x
  3. Step 3: Cross multiply
    6,822.62x = 9,414.90 × 4,170.27
  4. Step 4: Simplify right side
    6,822.62x = 39,262,675.02
  5. Step 5: Solve for x
    x = 39,262,675.02/6,822.62
  6. Step 6: Final answer
    x = 5,754.78

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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.