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Finding the Fourth Proportional to 6,572.80, 9,863.36 and 3,496.96

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Solution

The fourth proportional to 6,572.80, 9,863.36 and 3,496.96 is: 5,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.80 : 9,863.36 = 3,496.96 : x
  2. Step 2: Convert to fraction form
    6,572.80/9,863.36 = 3,496.96/x
  3. Step 3: Cross multiply
    6,572.80x = 9,863.36 × 3,496.96
  4. Step 4: Simplify right side
    6,572.80x = 34,491,775.39
  5. Step 5: Solve for x
    x = 34,491,775.39/6,572.80
  6. Step 6: Final answer
    x = 5,247.65

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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.