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Finding the Fourth Proportional to 6,268.38, 8,638.46 and 4,496.92

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Solution

The fourth proportional to 6,268.38, 8,638.46 and 4,496.92 is: 6,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.38 : 8,638.46 = 4,496.92 : x
  2. Step 2: Convert to fraction form
    6,268.38/8,638.46 = 4,496.92/x
  3. Step 3: Cross multiply
    6,268.38x = 8,638.46 × 4,496.92
  4. Step 4: Simplify right side
    6,268.38x = 38,846,463.54
  5. Step 5: Solve for x
    x = 38,846,463.54/6,268.38
  6. Step 6: Final answer
    x = 6,197.21

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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.