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Finding the Fourth Proportional to 6,196.50, 9,292.79 and 2,035.55

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Solution

The fourth proportional to 6,196.50, 9,292.79 and 2,035.55 is: 3,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.50 : 9,292.79 = 2,035.55 : x
  2. Step 2: Convert to fraction form
    6,196.50/9,292.79 = 2,035.55/x
  3. Step 3: Cross multiply
    6,196.50x = 9,292.79 × 2,035.55
  4. Step 4: Simplify right side
    6,196.50x = 18,915,882.04
  5. Step 5: Solve for x
    x = 18,915,882.04/6,196.50
  6. Step 6: Final answer
    x = 3,052.67

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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.