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Finding the Fourth Proportional to 6,243.42, 9,371.61 and 2,545.50

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Solution

The fourth proportional to 6,243.42, 9,371.61 and 2,545.50 is: 3,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.42 : 9,371.61 = 2,545.50 : x
  2. Step 2: Convert to fraction form
    6,243.42/9,371.61 = 2,545.50/x
  3. Step 3: Cross multiply
    6,243.42x = 9,371.61 × 2,545.50
  4. Step 4: Simplify right side
    6,243.42x = 23,855,433.26
  5. Step 5: Solve for x
    x = 23,855,433.26/6,243.42
  6. Step 6: Final answer
    x = 3,820.89

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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.