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Finding the Fourth Proportional to 6.85, 9.50 and 6.61

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Solution

The fourth proportional to 6.85, 9.50 and 6.61 is: 9.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.85 : 9.50 = 6.61 : x
  2. Step 2: Convert to fraction form
    6.85/9.50 = 6.61/x
  3. Step 3: Cross multiply
    6.85x = 9.50 × 6.61
  4. Step 4: Simplify right side
    6.85x = 62.80
  5. Step 5: Solve for x
    x = 62.80/6.85
  6. Step 6: Final answer
    x = 9.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.