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Finding the Fourth Proportional to 6,164.30, 9,249.49 and 3,823.71

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Solution

The fourth proportional to 6,164.30, 9,249.49 and 3,823.71 is: 5,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.30 : 9,249.49 = 3,823.71 : x
  2. Step 2: Convert to fraction form
    6,164.30/9,249.49 = 3,823.71/x
  3. Step 3: Cross multiply
    6,164.30x = 9,249.49 × 3,823.71
  4. Step 4: Simplify right side
    6,164.30x = 35,367,337.50
  5. Step 5: Solve for x
    x = 35,367,337.50/6,164.30
  6. Step 6: Final answer
    x = 5,737.44

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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.