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Finding the Fourth Proportional to 6,199.66, 9,299.54 and 2,039.95

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Solution

The fourth proportional to 6,199.66, 9,299.54 and 2,039.95 is: 3,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.66 : 9,299.54 = 2,039.95 : x
  2. Step 2: Convert to fraction form
    6,199.66/9,299.54 = 2,039.95/x
  3. Step 3: Cross multiply
    6,199.66x = 9,299.54 × 2,039.95
  4. Step 4: Simplify right side
    6,199.66x = 18,970,596.62
  5. Step 5: Solve for x
    x = 18,970,596.62/6,199.66
  6. Step 6: Final answer
    x = 3,059.94

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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.