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Finding the Fourth Proportional to 6,238.18, 9,351.76 and 2,543.50

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Solution

The fourth proportional to 6,238.18, 9,351.76 and 2,543.50 is: 3,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.18 : 9,351.76 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    6,238.18/9,351.76 = 2,543.50/x
  3. Step 3: Cross multiply
    6,238.18x = 9,351.76 × 2,543.50
  4. Step 4: Simplify right side
    6,238.18x = 23,786,201.56
  5. Step 5: Solve for x
    x = 23,786,201.56/6,238.18
  6. Step 6: Final answer
    x = 3,813.00

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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.