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Finding the Fourth Proportional to 6,257.25, 9,387.09 and 2,794.50

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Solution

The fourth proportional to 6,257.25, 9,387.09 and 2,794.50 is: 4,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.25 : 9,387.09 = 2,794.50 : x
  2. Step 2: Convert to fraction form
    6,257.25/9,387.09 = 2,794.50/x
  3. Step 3: Cross multiply
    6,257.25x = 9,387.09 × 2,794.50
  4. Step 4: Simplify right side
    6,257.25x = 26,232,223.01
  5. Step 5: Solve for x
    x = 26,232,223.01/6,257.25
  6. Step 6: Final answer
    x = 4,192.29

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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.