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Finding the Fourth Proportional to 6,609.65, 9,911.57 and 3,096.83

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Solution

The fourth proportional to 6,609.65, 9,911.57 and 3,096.83 is: 4,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.65 : 9,911.57 = 3,096.83 : x
  2. Step 2: Convert to fraction form
    6,609.65/9,911.57 = 3,096.83/x
  3. Step 3: Cross multiply
    6,609.65x = 9,911.57 × 3,096.83
  4. Step 4: Simplify right side
    6,609.65x = 30,694,382.28
  5. Step 5: Solve for x
    x = 30,694,382.28/6,609.65
  6. Step 6: Final answer
    x = 4,643.87

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1.5x scale

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.