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Finding the Fourth Proportional to 10.27, 15.44 and 6.48

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Solution

The fourth proportional to 10.27, 15.44 and 6.48 is: 9.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.27 : 15.44 = 6.48 : x
  2. Step 2: Convert to fraction form
    10.27/15.44 = 6.48/x
  3. Step 3: Cross multiply
    10.27x = 15.44 × 6.48
  4. Step 4: Simplify right side
    10.27x = 100.02
  5. Step 5: Solve for x
    x = 100.02/10.27
  6. Step 6: Final answer
    x = 9.74

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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.