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Finding the Fourth Proportional to 9,006.82, 13,510.22 and 2,850.82

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Solution

The fourth proportional to 9,006.82, 13,510.22 and 2,850.82 is: 4,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.82 : 13,510.22 = 2,850.82 : x
  2. Step 2: Convert to fraction form
    9,006.82/13,510.22 = 2,850.82/x
  3. Step 3: Cross multiply
    9,006.82x = 13,510.22 × 2,850.82
  4. Step 4: Simplify right side
    9,006.82x = 38,515,205.38
  5. Step 5: Solve for x
    x = 38,515,205.38/9,006.82
  6. Step 6: Final answer
    x = 4,276.23

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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.