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Finding the Fourth Proportional to 7,449.50, 11,174.25 and 1,902.65

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Solution

The fourth proportional to 7,449.50, 11,174.25 and 1,902.65 is: 2,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.50 : 11,174.25 = 1,902.65 : x
  2. Step 2: Convert to fraction form
    7,449.50/11,174.25 = 1,902.65/x
  3. Step 3: Cross multiply
    7,449.50x = 11,174.25 × 1,902.65
  4. Step 4: Simplify right side
    7,449.50x = 21,260,621.38
  5. Step 5: Solve for x
    x = 21,260,621.38/7,449.50
  6. Step 6: Final answer
    x = 2,853.97

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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.