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Finding the Fourth Proportional to 9.82, 13.46 and 9.64

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Solution

The fourth proportional to 9.82, 13.46 and 9.64 is: 13.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 13.46 = 9.64 : x
  2. Step 2: Convert to fraction form
    9.82/13.46 = 9.64/x
  3. Step 3: Cross multiply
    9.82x = 13.46 × 9.64
  4. Step 4: Simplify right side
    9.82x = 129.75
  5. Step 5: Solve for x
    x = 129.75/9.82
  6. Step 6: Final answer
    x = 13.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.