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Finding the Fourth Proportional to 4,165.50, 6,248.21 and 1,243.83

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Solution

The fourth proportional to 4,165.50, 6,248.21 and 1,243.83 is: 1,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.50 : 6,248.21 = 1,243.83 : x
  2. Step 2: Convert to fraction form
    4,165.50/6,248.21 = 1,243.83/x
  3. Step 3: Cross multiply
    4,165.50x = 6,248.21 × 1,243.83
  4. Step 4: Simplify right side
    4,165.50x = 7,771,711.04
  5. Step 5: Solve for x
    x = 7,771,711.04/4,165.50
  6. Step 6: Final answer
    x = 1,865.73

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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.