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Finding the Fourth Proportional to 8.27, 12.36 and 6.75

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Solution

The fourth proportional to 8.27, 12.36 and 6.75 is: 10.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.27 : 12.36 = 6.75 : x
  2. Step 2: Convert to fraction form
    8.27/12.36 = 6.75/x
  3. Step 3: Cross multiply
    8.27x = 12.36 × 6.75
  4. Step 4: Simplify right side
    8.27x = 83.44
  5. Step 5: Solve for x
    x = 83.44/8.27
  6. Step 6: Final answer
    x = 10.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.