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Finding the Fourth Proportional to 8.10, 12.17 and 6.43

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Solution

The fourth proportional to 8.10, 12.17 and 6.43 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.10 : 12.17 = 6.43 : x
  2. Step 2: Convert to fraction form
    8.10/12.17 = 6.43/x
  3. Step 3: Cross multiply
    8.10x = 12.17 × 6.43
  4. Step 4: Simplify right side
    8.10x = 78.20
  5. Step 5: Solve for x
    x = 78.20/8.10
  6. Step 6: Final answer
    x = 9.66

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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.