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Finding the Fourth Proportional to 7.73, 10.61 and 7.34

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Solution

The fourth proportional to 7.73, 10.61 and 7.34 is: 10.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.73 : 10.61 = 7.34 : x
  2. Step 2: Convert to fraction form
    7.73/10.61 = 7.34/x
  3. Step 3: Cross multiply
    7.73x = 10.61 × 7.34
  4. Step 4: Simplify right side
    7.73x = 77.88
  5. Step 5: Solve for x
    x = 77.88/7.73
  6. Step 6: Final answer
    x = 10.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.