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Finding the Fourth Proportional to 6,907.68, 9,537.08 and 4,757.85

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Solution

The fourth proportional to 6,907.68, 9,537.08 and 4,757.85 is: 6,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.68 : 9,537.08 = 4,757.85 : x
  2. Step 2: Convert to fraction form
    6,907.68/9,537.08 = 4,757.85/x
  3. Step 3: Cross multiply
    6,907.68x = 9,537.08 × 4,757.85
  4. Step 4: Simplify right side
    6,907.68x = 45,375,972.29
  5. Step 5: Solve for x
    x = 45,375,972.29/6,907.68
  6. Step 6: Final answer
    x = 6,568.92

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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.