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Finding the Fourth Proportional to 12,178.29, 16,805.70 and 6,873.60

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Solution

The fourth proportional to 12,178.29, 16,805.70 and 6,873.60 is: 9,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.29 : 16,805.70 = 6,873.60 : x
  2. Step 2: Convert to fraction form
    12,178.29/16,805.70 = 6,873.60/x
  3. Step 3: Cross multiply
    12,178.29x = 16,805.70 × 6,873.60
  4. Step 4: Simplify right side
    12,178.29x = 115,515,659.52
  5. Step 5: Solve for x
    x = 115,515,659.52/12,178.29
  6. Step 6: Final answer
    x = 9,485.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.