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Finding the Fourth Proportional to 6,614.87, 9,926.10 and 2,667.94

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Solution

The fourth proportional to 6,614.87, 9,926.10 and 2,667.94 is: 4,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.87 : 9,926.10 = 2,667.94 : x
  2. Step 2: Convert to fraction form
    6,614.87/9,926.10 = 2,667.94/x
  3. Step 3: Cross multiply
    6,614.87x = 9,926.10 × 2,667.94
  4. Step 4: Simplify right side
    6,614.87x = 26,482,176.26
  5. Step 5: Solve for x
    x = 26,482,176.26/6,614.87
  6. Step 6: Final answer
    x = 4,003.43

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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.