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Finding the Fourth Proportional to 7.75, 11.63 and 3.24

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Solution

The fourth proportional to 7.75, 11.63 and 3.24 is: 4.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 11.63 = 3.24 : x
  2. Step 2: Convert to fraction form
    7.75/11.63 = 3.24/x
  3. Step 3: Cross multiply
    7.75x = 11.63 × 3.24
  4. Step 4: Simplify right side
    7.75x = 37.67
  5. Step 5: Solve for x
    x = 37.67/7.75
  6. Step 6: Final answer
    x = 4.86

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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.