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Finding the Fourth Proportional to 6,250.88, 9,370.40 and 2,144

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Solution

The fourth proportional to 6,250.88, 9,370.40 and 2,144 is: 3,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.88 : 9,370.40 = 2,144 : x
  2. Step 2: Convert to fraction form
    6,250.88/9,370.40 = 2,144/x
  3. Step 3: Cross multiply
    6,250.88x = 9,370.40 × 2,144
  4. Step 4: Simplify right side
    6,250.88x = 20,090,137.60
  5. Step 5: Solve for x
    x = 20,090,137.60/6,250.88
  6. Step 6: Final answer
    x = 3,213.97

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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.