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Finding the Fourth Proportional to 6,243.49, 9,363.87 and 1,859.93

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Solution

The fourth proportional to 6,243.49, 9,363.87 and 1,859.93 is: 2,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.49 : 9,363.87 = 1,859.93 : x
  2. Step 2: Convert to fraction form
    6,243.49/9,363.87 = 1,859.93/x
  3. Step 3: Cross multiply
    6,243.49x = 9,363.87 × 1,859.93
  4. Step 4: Simplify right side
    6,243.49x = 17,416,131.02
  5. Step 5: Solve for x
    x = 17,416,131.02/6,243.49
  6. Step 6: Final answer
    x = 2,789.49

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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.