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Finding the Fourth Proportional to 6,142.32, 9,218.34 and 2,682

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Solution

The fourth proportional to 6,142.32, 9,218.34 and 2,682 is: 4,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.32 : 9,218.34 = 2,682 : x
  2. Step 2: Convert to fraction form
    6,142.32/9,218.34 = 2,682/x
  3. Step 3: Cross multiply
    6,142.32x = 9,218.34 × 2,682
  4. Step 4: Simplify right side
    6,142.32x = 24,723,587.88
  5. Step 5: Solve for x
    x = 24,723,587.88/6,142.32
  6. Step 6: Final answer
    x = 4,025.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.