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Finding the Fourth Proportional to 7.56, 11.32 and 6.82

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Solution

The fourth proportional to 7.56, 11.32 and 6.82 is: 10.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.56 : 11.32 = 6.82 : x
  2. Step 2: Convert to fraction form
    7.56/11.32 = 6.82/x
  3. Step 3: Cross multiply
    7.56x = 11.32 × 6.82
  4. Step 4: Simplify right side
    7.56x = 77.16
  5. Step 5: Solve for x
    x = 77.16/7.56
  6. Step 6: Final answer
    x = 10.21

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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.