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Finding the Fourth Proportional to 6,757.29, 9,322.38 and 4,515.62

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Solution

The fourth proportional to 6,757.29, 9,322.38 and 4,515.62 is: 6,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.29 : 9,322.38 = 4,515.62 : x
  2. Step 2: Convert to fraction form
    6,757.29/9,322.38 = 4,515.62/x
  3. Step 3: Cross multiply
    6,757.29x = 9,322.38 × 4,515.62
  4. Step 4: Simplify right side
    6,757.29x = 42,096,325.58
  5. Step 5: Solve for x
    x = 42,096,325.58/6,757.29
  6. Step 6: Final answer
    x = 6,229.76

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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.