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Finding the Fourth Proportional to 6.74, 10.09 and 6.10

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Solution

The fourth proportional to 6.74, 10.09 and 6.10 is: 9.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.74 : 10.09 = 6.10 : x
  2. Step 2: Convert to fraction form
    6.74/10.09 = 6.10/x
  3. Step 3: Cross multiply
    6.74x = 10.09 × 6.10
  4. Step 4: Simplify right side
    6.74x = 61.55
  5. Step 5: Solve for x
    x = 61.55/6.74
  6. Step 6: Final answer
    x = 9.13

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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.