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Finding the Fourth Proportional to 6,802.50, 10,200.99 and 2,120.94

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Solution

The fourth proportional to 6,802.50, 10,200.99 and 2,120.94 is: 3,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.50 : 10,200.99 = 2,120.94 : x
  2. Step 2: Convert to fraction form
    6,802.50/10,200.99 = 2,120.94/x
  3. Step 3: Cross multiply
    6,802.50x = 10,200.99 × 2,120.94
  4. Step 4: Simplify right side
    6,802.50x = 21,635,687.73
  5. Step 5: Solve for x
    x = 21,635,687.73/6,802.50
  6. Step 6: Final answer
    x = 3,180.55

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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.