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Finding the Fourth Proportional to 7.81, 11.71 and 2.74

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Solution

The fourth proportional to 7.81, 11.71 and 2.74 is: 4.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.81 : 11.71 = 2.74 : x
  2. Step 2: Convert to fraction form
    7.81/11.71 = 2.74/x
  3. Step 3: Cross multiply
    7.81x = 11.71 × 2.74
  4. Step 4: Simplify right side
    7.81x = 32.03
  5. Step 5: Solve for x
    x = 32.03/7.81
  6. Step 6: Final answer
    x = 4.10

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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.