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Finding the Fourth Proportional to 6.77, 9.62 and 6.77

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Solution

The fourth proportional to 6.77, 9.62 and 6.77 is: 9.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.77 : 9.62 = 6.77 : x
  2. Step 2: Convert to fraction form
    6.77/9.62 = 6.77/x
  3. Step 3: Cross multiply
    6.77x = 9.62 × 6.77
  4. Step 4: Simplify right side
    6.77x = 65.05
  5. Step 5: Solve for x
    x = 65.05/6.77
  6. Step 6: Final answer
    x = 9.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.