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Finding the Fourth Proportional to 6,757.10, 10,135.64 and 2,076.92

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Solution

The fourth proportional to 6,757.10, 10,135.64 and 2,076.92 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.10 : 10,135.64 = 2,076.92 : x
  2. Step 2: Convert to fraction form
    6,757.10/10,135.64 = 2,076.92/x
  3. Step 3: Cross multiply
    6,757.10x = 10,135.64 × 2,076.92
  4. Step 4: Simplify right side
    6,757.10x = 21,050,913.43
  5. Step 5: Solve for x
    x = 21,050,913.43/6,757.10
  6. Step 6: Final answer
    x = 3,115.38

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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.