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Finding the Fourth Proportional to 6,274.38, 9,405.81 and 2,167.50

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Solution

The fourth proportional to 6,274.38, 9,405.81 and 2,167.50 is: 3,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.38 : 9,405.81 = 2,167.50 : x
  2. Step 2: Convert to fraction form
    6,274.38/9,405.81 = 2,167.50/x
  3. Step 3: Cross multiply
    6,274.38x = 9,405.81 × 2,167.50
  4. Step 4: Simplify right side
    6,274.38x = 20,387,093.18
  5. Step 5: Solve for x
    x = 20,387,093.18/6,274.38
  6. Step 6: Final answer
    x = 3,249.26

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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.