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Finding the Fourth Proportional to 7,469.18, 11,201.91 and 2,274.98

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Solution

The fourth proportional to 7,469.18, 11,201.91 and 2,274.98 is: 3,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.18 : 11,201.91 = 2,274.98 : x
  2. Step 2: Convert to fraction form
    7,469.18/11,201.91 = 2,274.98/x
  3. Step 3: Cross multiply
    7,469.18x = 11,201.91 × 2,274.98
  4. Step 4: Simplify right side
    7,469.18x = 25,484,121.21
  5. Step 5: Solve for x
    x = 25,484,121.21/7,469.18
  6. Step 6: Final answer
    x = 3,411.90

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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.