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Finding the Fourth Proportional to 14.26, 21.41 and 9.78

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Solution

The fourth proportional to 14.26, 21.41 and 9.78 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.26 : 21.41 = 9.78 : x
  2. Step 2: Convert to fraction form
    14.26/21.41 = 9.78/x
  3. Step 3: Cross multiply
    14.26x = 21.41 × 9.78
  4. Step 4: Simplify right side
    14.26x = 209.39
  5. Step 5: Solve for x
    x = 209.39/14.26
  6. Step 6: Final answer
    x = 14.68

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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.