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Finding the Fourth Proportional to 6,757, 10,140.96 and 2,864.14

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Solution

The fourth proportional to 6,757, 10,140.96 and 2,864.14 is: 4,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757 : 10,140.96 = 2,864.14 : x
  2. Step 2: Convert to fraction form
    6,757/10,140.96 = 2,864.14/x
  3. Step 3: Cross multiply
    6,757x = 10,140.96 × 2,864.14
  4. Step 4: Simplify right side
    6,757x = 29,045,129.17
  5. Step 5: Solve for x
    x = 29,045,129.17/6,757
  6. Step 6: Final answer
    x = 4,298.52

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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.