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Finding the Fourth Proportional to 6,244, 9,367.54 and 1,861.44

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Solution

The fourth proportional to 6,244, 9,367.54 and 1,861.44 is: 2,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244 : 9,367.54 = 1,861.44 : x
  2. Step 2: Convert to fraction form
    6,244/9,367.54 = 1,861.44/x
  3. Step 3: Cross multiply
    6,244x = 9,367.54 × 1,861.44
  4. Step 4: Simplify right side
    6,244x = 17,437,113.66
  5. Step 5: Solve for x
    x = 17,437,113.66/6,244
  6. Step 6: Final answer
    x = 2,792.62

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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.