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Finding the Fourth Proportional to 9.50, 13.04 and 8.57

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Solution

The fourth proportional to 9.50, 13.04 and 8.57 is: 11.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 13.04 = 8.57 : x
  2. Step 2: Convert to fraction form
    9.50/13.04 = 8.57/x
  3. Step 3: Cross multiply
    9.50x = 13.04 × 8.57
  4. Step 4: Simplify right side
    9.50x = 111.64
  5. Step 5: Solve for x
    x = 111.64/9.50
  6. Step 6: Final answer
    x = 11.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.