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Finding the Fourth Proportional to 6.86, 10.22 and 6.47

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Solution

The fourth proportional to 6.86, 10.22 and 6.47 is: 9.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 10.22 = 6.47 : x
  2. Step 2: Convert to fraction form
    6.86/10.22 = 6.47/x
  3. Step 3: Cross multiply
    6.86x = 10.22 × 6.47
  4. Step 4: Simplify right side
    6.86x = 66.17
  5. Step 5: Solve for x
    x = 66.17/6.86
  6. Step 6: Final answer
    x = 9.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.