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Finding the Fourth Proportional to 6.14, 9.22 and 4.14

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Solution

The fourth proportional to 6.14, 9.22 and 4.14 is: 6.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.14 : 9.22 = 4.14 : x
  2. Step 2: Convert to fraction form
    6.14/9.22 = 4.14/x
  3. Step 3: Cross multiply
    6.14x = 9.22 × 4.14
  4. Step 4: Simplify right side
    6.14x = 38.17
  5. Step 5: Solve for x
    x = 38.17/6.14
  6. Step 6: Final answer
    x = 6.22

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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.