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Finding the Fourth Proportional to 8.09, 11.17 and 6.27

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Solution

The fourth proportional to 8.09, 11.17 and 6.27 is: 8.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 11.17 = 6.27 : x
  2. Step 2: Convert to fraction form
    8.09/11.17 = 6.27/x
  3. Step 3: Cross multiply
    8.09x = 11.17 × 6.27
  4. Step 4: Simplify right side
    8.09x = 70.02
  5. Step 5: Solve for x
    x = 70.02/8.09
  6. Step 6: Final answer
    x = 8.66

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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.