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Finding the Fourth Proportional to 8.22, 12.34 and 6.44

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Solution

The fourth proportional to 8.22, 12.34 and 6.44 is: 9.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.22 : 12.34 = 6.44 : x
  2. Step 2: Convert to fraction form
    8.22/12.34 = 6.44/x
  3. Step 3: Cross multiply
    8.22x = 12.34 × 6.44
  4. Step 4: Simplify right side
    8.22x = 79.47
  5. Step 5: Solve for x
    x = 79.47/8.22
  6. Step 6: Final answer
    x = 9.67

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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.