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Finding the Fourth Proportional to 10.74, 16.09 and 6.46

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Solution

The fourth proportional to 10.74, 16.09 and 6.46 is: 9.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.74 : 16.09 = 6.46 : x
  2. Step 2: Convert to fraction form
    10.74/16.09 = 6.46/x
  3. Step 3: Cross multiply
    10.74x = 16.09 × 6.46
  4. Step 4: Simplify right side
    10.74x = 103.93
  5. Step 5: Solve for x
    x = 103.93/10.74
  6. Step 6: Final answer
    x = 9.68

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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.