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Finding the Fourth Proportional to 6,169.50, 9,255.42 and 2,274.21

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Solution

The fourth proportional to 6,169.50, 9,255.42 and 2,274.21 is: 3,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.50 : 9,255.42 = 2,274.21 : x
  2. Step 2: Convert to fraction form
    6,169.50/9,255.42 = 2,274.21/x
  3. Step 3: Cross multiply
    6,169.50x = 9,255.42 × 2,274.21
  4. Step 4: Simplify right side
    6,169.50x = 21,048,768.72
  5. Step 5: Solve for x
    x = 21,048,768.72/6,169.50
  6. Step 6: Final answer
    x = 3,411.75

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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.