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Finding the Fourth Proportional to 10.01, 13.82 and 6.78

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Solution

The fourth proportional to 10.01, 13.82 and 6.78 is: 9.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.01 : 13.82 = 6.78 : x
  2. Step 2: Convert to fraction form
    10.01/13.82 = 6.78/x
  3. Step 3: Cross multiply
    10.01x = 13.82 × 6.78
  4. Step 4: Simplify right side
    10.01x = 93.67
  5. Step 5: Solve for x
    x = 93.67/10.01
  6. Step 6: Final answer
    x = 9.36

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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.