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Finding the Fourth Proportional to 7.83, 10.82 and 6.23

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Solution

The fourth proportional to 7.83, 10.82 and 6.23 is: 8.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.83 : 10.82 = 6.23 : x
  2. Step 2: Convert to fraction form
    7.83/10.82 = 6.23/x
  3. Step 3: Cross multiply
    7.83x = 10.82 × 6.23
  4. Step 4: Simplify right side
    7.83x = 67.41
  5. Step 5: Solve for x
    x = 67.41/7.83
  6. Step 6: Final answer
    x = 8.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.