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Finding the Fourth Proportional to 16,797, 25,178.49 and 6,941.73

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Solution

The fourth proportional to 16,797, 25,178.49 and 6,941.73 is: 10,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,797 : 25,178.49 = 6,941.73 : x
  2. Step 2: Convert to fraction form
    16,797/25,178.49 = 6,941.73/x
  3. Step 3: Cross multiply
    16,797x = 25,178.49 × 6,941.73
  4. Step 4: Simplify right side
    16,797x = 174,782,279.39
  5. Step 5: Solve for x
    x = 174,782,279.39/16,797
  6. Step 6: Final answer
    x = 10,405.57

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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.