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Finding the Fourth Proportional to 7.74, 11.61 and 5.96

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Solution

The fourth proportional to 7.74, 11.61 and 5.96 is: 8.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 11.61 = 5.96 : x
  2. Step 2: Convert to fraction form
    7.74/11.61 = 5.96/x
  3. Step 3: Cross multiply
    7.74x = 11.61 × 5.96
  4. Step 4: Simplify right side
    7.74x = 69.14
  5. Step 5: Solve for x
    x = 69.14/7.74
  6. Step 6: Final answer
    x = 8.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.