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Finding the Fourth Proportional to 6.78, 10.11 and 6.53

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Solution

The fourth proportional to 6.78, 10.11 and 6.53 is: 9.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 10.11 = 6.53 : x
  2. Step 2: Convert to fraction form
    6.78/10.11 = 6.53/x
  3. Step 3: Cross multiply
    6.78x = 10.11 × 6.53
  4. Step 4: Simplify right side
    6.78x = 65.94
  5. Step 5: Solve for x
    x = 65.94/6.78
  6. Step 6: Final answer
    x = 9.72

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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.