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Finding the Fourth Proportional to 6,940.78, 10,409.21 and 2,497.80

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Solution

The fourth proportional to 6,940.78, 10,409.21 and 2,497.80 is: 3,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.78 : 10,409.21 = 2,497.80 : x
  2. Step 2: Convert to fraction form
    6,940.78/10,409.21 = 2,497.80/x
  3. Step 3: Cross multiply
    6,940.78x = 10,409.21 × 2,497.80
  4. Step 4: Simplify right side
    6,940.78x = 26,000,072.69
  5. Step 5: Solve for x
    x = 26,000,072.69/6,940.78
  6. Step 6: Final answer
    x = 3,745.99

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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.