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Finding the Fourth Proportional to 6,805.46, 10,199.99 and 3,516.78

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Solution

The fourth proportional to 6,805.46, 10,199.99 and 3,516.78 is: 5,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.46 : 10,199.99 = 3,516.78 : x
  2. Step 2: Convert to fraction form
    6,805.46/10,199.99 = 3,516.78/x
  3. Step 3: Cross multiply
    6,805.46x = 10,199.99 × 3,516.78
  4. Step 4: Simplify right side
    6,805.46x = 35,871,120.83
  5. Step 5: Solve for x
    x = 35,871,120.83/6,805.46
  6. Step 6: Final answer
    x = 5,270.93

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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.