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Finding the Fourth Proportional to 8.73, 13.09 and 4.94

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Solution

The fourth proportional to 8.73, 13.09 and 4.94 is: 7.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.73 : 13.09 = 4.94 : x
  2. Step 2: Convert to fraction form
    8.73/13.09 = 4.94/x
  3. Step 3: Cross multiply
    8.73x = 13.09 × 4.94
  4. Step 4: Simplify right side
    8.73x = 64.66
  5. Step 5: Solve for x
    x = 64.66/8.73
  6. Step 6: Final answer
    x = 7.41

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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.