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Finding the Fourth Proportional to 6,049.45, 9,073.49 and 2,099.98

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Solution

The fourth proportional to 6,049.45, 9,073.49 and 2,099.98 is: 3,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.45 : 9,073.49 = 2,099.98 : x
  2. Step 2: Convert to fraction form
    6,049.45/9,073.49 = 2,099.98/x
  3. Step 3: Cross multiply
    6,049.45x = 9,073.49 × 2,099.98
  4. Step 4: Simplify right side
    6,049.45x = 19,054,114.35
  5. Step 5: Solve for x
    x = 19,054,114.35/6,049.45
  6. Step 6: Final answer
    x = 3,149.73

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1.5x scale

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.