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Finding the Fourth Proportional to 7.76, 10.69 and 6.32

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Solution

The fourth proportional to 7.76, 10.69 and 6.32 is: 8.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.76 : 10.69 = 6.32 : x
  2. Step 2: Convert to fraction form
    7.76/10.69 = 6.32/x
  3. Step 3: Cross multiply
    7.76x = 10.69 × 6.32
  4. Step 4: Simplify right side
    7.76x = 67.56
  5. Step 5: Solve for x
    x = 67.56/7.76
  6. Step 6: Final answer
    x = 8.71

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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.