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Finding the Fourth Proportional to 13.97, 19.27 and 7.82

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Solution

The fourth proportional to 13.97, 19.27 and 7.82 is: 10.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 19.27 = 7.82 : x
  2. Step 2: Convert to fraction form
    13.97/19.27 = 7.82/x
  3. Step 3: Cross multiply
    13.97x = 19.27 × 7.82
  4. Step 4: Simplify right side
    13.97x = 150.76
  5. Step 5: Solve for x
    x = 150.76/13.97
  6. Step 6: Final answer
    x = 10.80

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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.