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Finding the Fourth Proportional to 9,198, 13,797.27 and 2,958.65

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Solution

The fourth proportional to 9,198, 13,797.27 and 2,958.65 is: 4,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,797.27 = 2,958.65 : x
  2. Step 2: Convert to fraction form
    9,198/13,797.27 = 2,958.65/x
  3. Step 3: Cross multiply
    9,198x = 13,797.27 × 2,958.65
  4. Step 4: Simplify right side
    9,198x = 40,821,223.90
  5. Step 5: Solve for x
    x = 40,821,223.90/9,198
  6. Step 6: Final answer
    x = 4,438.05

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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.