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Finding the Fourth Proportional to 9.24, 12.75 and 6.82

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Solution

The fourth proportional to 9.24, 12.75 and 6.82 is: 9.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.24 : 12.75 = 6.82 : x
  2. Step 2: Convert to fraction form
    9.24/12.75 = 6.82/x
  3. Step 3: Cross multiply
    9.24x = 12.75 × 6.82
  4. Step 4: Simplify right side
    9.24x = 86.96
  5. Step 5: Solve for x
    x = 86.96/9.24
  6. Step 6: Final answer
    x = 9.41

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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.