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Finding the Fourth Proportional to 15,198.06, 22,797.90 and 4,809

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Solution

The fourth proportional to 15,198.06, 22,797.90 and 4,809 is: 7,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.06 : 22,797.90 = 4,809 : x
  2. Step 2: Convert to fraction form
    15,198.06/22,797.90 = 4,809/x
  3. Step 3: Cross multiply
    15,198.06x = 22,797.90 × 4,809
  4. Step 4: Simplify right side
    15,198.06x = 109,635,101.10
  5. Step 5: Solve for x
    x = 109,635,101.10/15,198.06
  6. Step 6: Final answer
    x = 7,213.76

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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.