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Finding the Fourth Proportional to 9.82, 14.74 and 8.21

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Solution

The fourth proportional to 9.82, 14.74 and 8.21 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 14.74 = 8.21 : x
  2. Step 2: Convert to fraction form
    9.82/14.74 = 8.21/x
  3. Step 3: Cross multiply
    9.82x = 14.74 × 8.21
  4. Step 4: Simplify right side
    9.82x = 121.02
  5. Step 5: Solve for x
    x = 121.02/9.82
  6. Step 6: Final answer
    x = 12.32

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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.