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Finding the Fourth Proportional to 6,863.56, 9,511.57 and 6,732.28

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Solution

The fourth proportional to 6,863.56, 9,511.57 and 6,732.28 is: 9,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.56 : 9,511.57 = 6,732.28 : x
  2. Step 2: Convert to fraction form
    6,863.56/9,511.57 = 6,732.28/x
  3. Step 3: Cross multiply
    6,863.56x = 9,511.57 × 6,732.28
  4. Step 4: Simplify right side
    6,863.56x = 64,034,552.48
  5. Step 5: Solve for x
    x = 64,034,552.48/6,863.56
  6. Step 6: Final answer
    x = 9,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.