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Finding the Fourth Proportional to 7.74, 10.74 and 7.41

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Solution

The fourth proportional to 7.74, 10.74 and 7.41 is: 10.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 10.74 = 7.41 : x
  2. Step 2: Convert to fraction form
    7.74/10.74 = 7.41/x
  3. Step 3: Cross multiply
    7.74x = 10.74 × 7.41
  4. Step 4: Simplify right side
    7.74x = 79.58
  5. Step 5: Solve for x
    x = 79.58/7.74
  6. Step 6: Final answer
    x = 10.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.