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Finding the Fourth Proportional to 6,805.99, 10,202.50 and 2,185.75

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Solution

The fourth proportional to 6,805.99, 10,202.50 and 2,185.75 is: 3,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.99 : 10,202.50 = 2,185.75 : x
  2. Step 2: Convert to fraction form
    6,805.99/10,202.50 = 2,185.75/x
  3. Step 3: Cross multiply
    6,805.99x = 10,202.50 × 2,185.75
  4. Step 4: Simplify right side
    6,805.99x = 22,300,114.38
  5. Step 5: Solve for x
    x = 22,300,114.38/6,805.99
  6. Step 6: Final answer
    x = 3,276.54

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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.