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Finding the Fourth Proportional to 16,794, 25,173.99 and 6,938.73

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Solution

The fourth proportional to 16,794, 25,173.99 and 6,938.73 is: 10,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794 : 25,173.99 = 6,938.73 : x
  2. Step 2: Convert to fraction form
    16,794/25,173.99 = 6,938.73/x
  3. Step 3: Cross multiply
    16,794x = 25,173.99 × 6,938.73
  4. Step 4: Simplify right side
    16,794x = 174,675,519.63
  5. Step 5: Solve for x
    x = 174,675,519.63/16,794
  6. Step 6: Final answer
    x = 10,401.07

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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.