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Finding the Fourth Proportional to 7.44, 11.14 and 6.11

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Solution

The fourth proportional to 7.44, 11.14 and 6.11 is: 9.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.44 : 11.14 = 6.11 : x
  2. Step 2: Convert to fraction form
    7.44/11.14 = 6.11/x
  3. Step 3: Cross multiply
    7.44x = 11.14 × 6.11
  4. Step 4: Simplify right side
    7.44x = 68.07
  5. Step 5: Solve for x
    x = 68.07/7.44
  6. Step 6: Final answer
    x = 9.15

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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.