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Finding the Fourth Proportional to 10.14, 13.91 and 9.63

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Solution

The fourth proportional to 10.14, 13.91 and 9.63 is: 13.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 13.91 = 9.63 : x
  2. Step 2: Convert to fraction form
    10.14/13.91 = 9.63/x
  3. Step 3: Cross multiply
    10.14x = 13.91 × 9.63
  4. Step 4: Simplify right side
    10.14x = 133.95
  5. Step 5: Solve for x
    x = 133.95/10.14
  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.