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Finding the Fourth Proportional to 6,049.72, 9,072.24 and 2,099.80

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Solution

The fourth proportional to 6,049.72, 9,072.24 and 2,099.80 is: 3,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.72 : 9,072.24 = 2,099.80 : x
  2. Step 2: Convert to fraction form
    6,049.72/9,072.24 = 2,099.80/x
  3. Step 3: Cross multiply
    6,049.72x = 9,072.24 × 2,099.80
  4. Step 4: Simplify right side
    6,049.72x = 19,049,889.55
  5. Step 5: Solve for x
    x = 19,049,889.55/6,049.72
  6. Step 6: Final answer
    x = 3,148.89

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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.