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Finding the Fourth Proportional to 14.47, 19.97 and 9.62

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Solution

The fourth proportional to 14.47, 19.97 and 9.62 is: 13.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.47 : 19.97 = 9.62 : x
  2. Step 2: Convert to fraction form
    14.47/19.97 = 9.62/x
  3. Step 3: Cross multiply
    14.47x = 19.97 × 9.62
  4. Step 4: Simplify right side
    14.47x = 192.11
  5. Step 5: Solve for x
    x = 192.11/14.47
  6. Step 6: Final answer
    x = 13.28

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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.