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Finding the Fourth Proportional to 12,274.79, 16,939.21 and 6,685.79

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Solution

The fourth proportional to 12,274.79, 16,939.21 and 6,685.79 is: 9,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.79 : 16,939.21 = 6,685.79 : x
  2. Step 2: Convert to fraction form
    12,274.79/16,939.21 = 6,685.79/x
  3. Step 3: Cross multiply
    12,274.79x = 16,939.21 × 6,685.79
  4. Step 4: Simplify right side
    12,274.79x = 113,251,899.42
  5. Step 5: Solve for x
    x = 113,251,899.42/12,274.79
  6. Step 6: Final answer
    x = 9,226.39

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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.