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Finding the Fourth Proportional to 7,199.91, 10,797.71 and 2,270.79

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Solution

The fourth proportional to 7,199.91, 10,797.71 and 2,270.79 is: 3,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.91 : 10,797.71 = 2,270.79 : x
  2. Step 2: Convert to fraction form
    7,199.91/10,797.71 = 2,270.79/x
  3. Step 3: Cross multiply
    7,199.91x = 10,797.71 × 2,270.79
  4. Step 4: Simplify right side
    7,199.91x = 24,519,320.54
  5. Step 5: Solve for x
    x = 24,519,320.54/7,199.91
  6. Step 6: Final answer
    x = 3,405.50

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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.