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Finding the Fourth Proportional to 6,166.38, 8,508.34 and 3,647.24

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Solution

The fourth proportional to 6,166.38, 8,508.34 and 3,647.24 is: 5,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.38 : 8,508.34 = 3,647.24 : x
  2. Step 2: Convert to fraction form
    6,166.38/8,508.34 = 3,647.24/x
  3. Step 3: Cross multiply
    6,166.38x = 8,508.34 × 3,647.24
  4. Step 4: Simplify right side
    6,166.38x = 31,031,957.98
  5. Step 5: Solve for x
    x = 31,031,957.98/6,166.38
  6. Step 6: Final answer
    x = 5,032.44

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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.