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Finding the Fourth Proportional to 6,099.65, 9,150.59 and 2,769.47

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Solution

The fourth proportional to 6,099.65, 9,150.59 and 2,769.47 is: 4,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.65 : 9,150.59 = 2,769.47 : x
  2. Step 2: Convert to fraction form
    6,099.65/9,150.59 = 2,769.47/x
  3. Step 3: Cross multiply
    6,099.65x = 9,150.59 × 2,769.47
  4. Step 4: Simplify right side
    6,099.65x = 25,342,284.49
  5. Step 5: Solve for x
    x = 25,342,284.49/6,099.65
  6. Step 6: Final answer
    x = 4,154.71

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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.