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Finding the Fourth Proportional to 6,367.32, 9,545.28 and 3,083.58

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Solution

The fourth proportional to 6,367.32, 9,545.28 and 3,083.58 is: 4,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.32 : 9,545.28 = 3,083.58 : x
  2. Step 2: Convert to fraction form
    6,367.32/9,545.28 = 3,083.58/x
  3. Step 3: Cross multiply
    6,367.32x = 9,545.28 × 3,083.58
  4. Step 4: Simplify right side
    6,367.32x = 29,433,634.50
  5. Step 5: Solve for x
    x = 29,433,634.50/6,367.32
  6. Step 6: Final answer
    x = 4,622.61

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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.