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Finding the Fourth Proportional to 6,099.69, 9,142.50 and 2,805.87

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Solution

The fourth proportional to 6,099.69, 9,142.50 and 2,805.87 is: 4,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.69 : 9,142.50 = 2,805.87 : x
  2. Step 2: Convert to fraction form
    6,099.69/9,142.50 = 2,805.87/x
  3. Step 3: Cross multiply
    6,099.69x = 9,142.50 × 2,805.87
  4. Step 4: Simplify right side
    6,099.69x = 25,652,666.48
  5. Step 5: Solve for x
    x = 25,652,666.48/6,099.69
  6. Step 6: Final answer
    x = 4,205.57

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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.