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Finding the Fourth Proportional to 7.85, 11.82 and 6.75

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Solution

The fourth proportional to 7.85, 11.82 and 6.75 is: 10.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.85 : 11.82 = 6.75 : x
  2. Step 2: Convert to fraction form
    7.85/11.82 = 6.75/x
  3. Step 3: Cross multiply
    7.85x = 11.82 × 6.75
  4. Step 4: Simplify right side
    7.85x = 79.77
  5. Step 5: Solve for x
    x = 79.77/7.85
  6. Step 6: Final answer
    x = 10.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.