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Finding the Fourth Proportional to 8,850.72, 13,273.44 and 3,006

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Solution

The fourth proportional to 8,850.72, 13,273.44 and 3,006 is: 4,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,850.72 : 13,273.44 = 3,006 : x
  2. Step 2: Convert to fraction form
    8,850.72/13,273.44 = 3,006/x
  3. Step 3: Cross multiply
    8,850.72x = 13,273.44 × 3,006
  4. Step 4: Simplify right side
    8,850.72x = 39,899,960.64
  5. Step 5: Solve for x
    x = 39,899,960.64/8,850.72
  6. Step 6: Final answer
    x = 4,508.10

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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.