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Finding the Fourth Proportional to 7.75, 11.62 and 6.91

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Solution

The fourth proportional to 7.75, 11.62 and 6.91 is: 10.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 11.62 = 6.91 : x
  2. Step 2: Convert to fraction form
    7.75/11.62 = 6.91/x
  3. Step 3: Cross multiply
    7.75x = 11.62 × 6.91
  4. Step 4: Simplify right side
    7.75x = 80.29
  5. Step 5: Solve for x
    x = 80.29/7.75
  6. Step 6: Final answer
    x = 10.37

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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.