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Finding the Fourth Proportional to 7,798.14, 11,697.24 and 2,251.51

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Solution

The fourth proportional to 7,798.14, 11,697.24 and 2,251.51 is: 3,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.14 : 11,697.24 = 2,251.51 : x
  2. Step 2: Convert to fraction form
    7,798.14/11,697.24 = 2,251.51/x
  3. Step 3: Cross multiply
    7,798.14x = 11,697.24 × 2,251.51
  4. Step 4: Simplify right side
    7,798.14x = 26,336,452.83
  5. Step 5: Solve for x
    x = 26,336,452.83/7,798.14
  6. Step 6: Final answer
    x = 3,377.27

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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.