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Finding the Fourth Proportional to 8.57, 11.82 and 6.95

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Solution

The fourth proportional to 8.57, 11.82 and 6.95 is: 9.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.57 : 11.82 = 6.95 : x
  2. Step 2: Convert to fraction form
    8.57/11.82 = 6.95/x
  3. Step 3: Cross multiply
    8.57x = 11.82 × 6.95
  4. Step 4: Simplify right side
    8.57x = 82.15
  5. Step 5: Solve for x
    x = 82.15/8.57
  6. Step 6: Final answer
    x = 9.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.