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Finding the Fourth Proportional to 6,206.76, 9,311.76 and 2,699.46

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Solution

The fourth proportional to 6,206.76, 9,311.76 and 2,699.46 is: 4,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.76 : 9,311.76 = 2,699.46 : x
  2. Step 2: Convert to fraction form
    6,206.76/9,311.76 = 2,699.46/x
  3. Step 3: Cross multiply
    6,206.76x = 9,311.76 × 2,699.46
  4. Step 4: Simplify right side
    6,206.76x = 25,136,723.65
  5. Step 5: Solve for x
    x = 25,136,723.65/6,206.76
  6. Step 6: Final answer
    x = 4,049.89

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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.