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Finding the Fourth Proportional to 6.82, 10.23 and 6.71

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Solution

The fourth proportional to 6.82, 10.23 and 6.71 is: 10.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.82 : 10.23 = 6.71 : x
  2. Step 2: Convert to fraction form
    6.82/10.23 = 6.71/x
  3. Step 3: Cross multiply
    6.82x = 10.23 × 6.71
  4. Step 4: Simplify right side
    6.82x = 68.64
  5. Step 5: Solve for x
    x = 68.64/6.82
  6. Step 6: Final answer
    x = 10.07

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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.