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Finding the Fourth Proportional to 6,033.03, 9,049.62 and 1,650.50

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Solution

The fourth proportional to 6,033.03, 9,049.62 and 1,650.50 is: 2,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.03 : 9,049.62 = 1,650.50 : x
  2. Step 2: Convert to fraction form
    6,033.03/9,049.62 = 1,650.50/x
  3. Step 3: Cross multiply
    6,033.03x = 9,049.62 × 1,650.50
  4. Step 4: Simplify right side
    6,033.03x = 14,936,352.56
  5. Step 5: Solve for x
    x = 14,936,352.56/6,033.03
  6. Step 6: Final answer
    x = 2,475.76

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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.