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Finding the Fourth Proportional to 6.89, 9.49 and 6.61

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Solution

The fourth proportional to 6.89, 9.49 and 6.61 is: 9.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.89 : 9.49 = 6.61 : x
  2. Step 2: Convert to fraction form
    6.89/9.49 = 6.61/x
  3. Step 3: Cross multiply
    6.89x = 9.49 × 6.61
  4. Step 4: Simplify right side
    6.89x = 62.71
  5. Step 5: Solve for x
    x = 62.71/6.89
  6. Step 6: Final answer
    x = 9.11

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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.