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Finding the Fourth Proportional to 9.25, 12.77 and 6.02

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Solution

The fourth proportional to 9.25, 12.77 and 6.02 is: 8.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.25 : 12.77 = 6.02 : x
  2. Step 2: Convert to fraction form
    9.25/12.77 = 6.02/x
  3. Step 3: Cross multiply
    9.25x = 12.77 × 6.02
  4. Step 4: Simplify right side
    9.25x = 76.78
  5. Step 5: Solve for x
    x = 76.78/9.25
  6. Step 6: Final answer
    x = 8.30

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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.