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Finding the Fourth Proportional to 10,940, 16,410.02 and 3,149.44

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Solution

The fourth proportional to 10,940, 16,410.02 and 3,149.44 is: 4,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940 : 16,410.02 = 3,149.44 : x
  2. Step 2: Convert to fraction form
    10,940/16,410.02 = 3,149.44/x
  3. Step 3: Cross multiply
    10,940x = 16,410.02 × 3,149.44
  4. Step 4: Simplify right side
    10,940x = 51,682,373.39
  5. Step 5: Solve for x
    x = 51,682,373.39/10,940
  6. Step 6: Final answer
    x = 4,724.17

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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.