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Finding the Fourth Proportional to 6.86, 10.34 and 6.86

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Solution

The fourth proportional to 6.86, 10.34 and 6.86 is: 10.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 10.34 = 6.86 : x
  2. Step 2: Convert to fraction form
    6.86/10.34 = 6.86/x
  3. Step 3: Cross multiply
    6.86x = 10.34 × 6.86
  4. Step 4: Simplify right side
    6.86x = 70.85
  5. Step 5: Solve for x
    x = 70.85/6.86
  6. Step 6: Final answer
    x = 10.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.