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Finding the Fourth Proportional to 9.82, 13.56 and 6.76

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Solution

The fourth proportional to 9.82, 13.56 and 6.76 is: 9.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 13.56 = 6.76 : x
  2. Step 2: Convert to fraction form
    9.82/13.56 = 6.76/x
  3. Step 3: Cross multiply
    9.82x = 13.56 × 6.76
  4. Step 4: Simplify right side
    9.82x = 91.71
  5. Step 5: Solve for x
    x = 91.71/9.82
  6. Step 6: Final answer
    x = 9.34

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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.