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Finding the Fourth Proportional to 6,243.94, 9,365.46 and 2,545.12

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Solution

The fourth proportional to 6,243.94, 9,365.46 and 2,545.12 is: 3,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.94 : 9,365.46 = 2,545.12 : x
  2. Step 2: Convert to fraction form
    6,243.94/9,365.46 = 2,545.12/x
  3. Step 3: Cross multiply
    6,243.94x = 9,365.46 × 2,545.12
  4. Step 4: Simplify right side
    6,243.94x = 23,836,219.56
  5. Step 5: Solve for x
    x = 23,836,219.56/6,243.94
  6. Step 6: Final answer
    x = 3,817.50

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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.