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Finding the Fourth Proportional to 8.71, 13.07 and 6.48

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Solution

The fourth proportional to 8.71, 13.07 and 6.48 is: 9.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.71 : 13.07 = 6.48 : x
  2. Step 2: Convert to fraction form
    8.71/13.07 = 6.48/x
  3. Step 3: Cross multiply
    8.71x = 13.07 × 6.48
  4. Step 4: Simplify right side
    8.71x = 84.71
  5. Step 5: Solve for x
    x = 84.71/8.71
  6. Step 6: Final answer
    x = 9.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.