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Finding the Fourth Proportional to 8,450.50, 12,675.99 and 2,294.50

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Solution

The fourth proportional to 8,450.50, 12,675.99 and 2,294.50 is: 3,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.50 : 12,675.99 = 2,294.50 : x
  2. Step 2: Convert to fraction form
    8,450.50/12,675.99 = 2,294.50/x
  3. Step 3: Cross multiply
    8,450.50x = 12,675.99 × 2,294.50
  4. Step 4: Simplify right side
    8,450.50x = 29,085,059.06
  5. Step 5: Solve for x
    x = 29,085,059.06/8,450.50
  6. Step 6: Final answer
    x = 3,441.82

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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.