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Finding the Fourth Proportional to 6,757.16, 10,135.68 and 2,861

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Solution

The fourth proportional to 6,757.16, 10,135.68 and 2,861 is: 4,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.16 : 10,135.68 = 2,861 : x
  2. Step 2: Convert to fraction form
    6,757.16/10,135.68 = 2,861/x
  3. Step 3: Cross multiply
    6,757.16x = 10,135.68 × 2,861
  4. Step 4: Simplify right side
    6,757.16x = 28,998,180.48
  5. Step 5: Solve for x
    x = 28,998,180.48/6,757.16
  6. Step 6: Final answer
    x = 4,291.47

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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.