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Finding the Fourth Proportional to 8.78, 13.14 and 6.49

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Solution

The fourth proportional to 8.78, 13.14 and 6.49 is: 9.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.78 : 13.14 = 6.49 : x
  2. Step 2: Convert to fraction form
    8.78/13.14 = 6.49/x
  3. Step 3: Cross multiply
    8.78x = 13.14 × 6.49
  4. Step 4: Simplify right side
    8.78x = 85.25
  5. Step 5: Solve for x
    x = 85.25/8.78
  6. Step 6: Final answer
    x = 9.71

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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.