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Finding the Fourth Proportional to 6.82, 10.22 and 5.83

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Solution

The fourth proportional to 6.82, 10.22 and 5.83 is: 8.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.82 : 10.22 = 5.83 : x
  2. Step 2: Convert to fraction form
    6.82/10.22 = 5.83/x
  3. Step 3: Cross multiply
    6.82x = 10.22 × 5.83
  4. Step 4: Simplify right side
    6.82x = 59.58
  5. Step 5: Solve for x
    x = 59.58/6.82
  6. Step 6: Final answer
    x = 8.74

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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.