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Finding the Fourth Proportional to 6,164.43, 9,243.87 and 2,878.48

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Solution

The fourth proportional to 6,164.43, 9,243.87 and 2,878.48 is: 4,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.43 : 9,243.87 = 2,878.48 : x
  2. Step 2: Convert to fraction form
    6,164.43/9,243.87 = 2,878.48/x
  3. Step 3: Cross multiply
    6,164.43x = 9,243.87 × 2,878.48
  4. Step 4: Simplify right side
    6,164.43x = 26,608,294.92
  5. Step 5: Solve for x
    x = 26,608,294.92/6,164.43
  6. Step 6: Final answer
    x = 4,316.42

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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.