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Finding the Fourth Proportional to 6,067.38, 8,372.77 and 3,414.63

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Solution

The fourth proportional to 6,067.38, 8,372.77 and 3,414.63 is: 4,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.38 : 8,372.77 = 3,414.63 : x
  2. Step 2: Convert to fraction form
    6,067.38/8,372.77 = 3,414.63/x
  3. Step 3: Cross multiply
    6,067.38x = 8,372.77 × 3,414.63
  4. Step 4: Simplify right side
    6,067.38x = 28,589,911.63
  5. Step 5: Solve for x
    x = 28,589,911.63/6,067.38
  6. Step 6: Final answer
    x = 4,712.07

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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.