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Finding the Fourth Proportional to 6,806.16, 10,199.79 and 3,099.33

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Solution

The fourth proportional to 6,806.16, 10,199.79 and 3,099.33 is: 4,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.16 : 10,199.79 = 3,099.33 : x
  2. Step 2: Convert to fraction form
    6,806.16/10,199.79 = 3,099.33/x
  3. Step 3: Cross multiply
    6,806.16x = 10,199.79 × 3,099.33
  4. Step 4: Simplify right side
    6,806.16x = 31,612,515.14
  5. Step 5: Solve for x
    x = 31,612,515.14/6,806.16
  6. Step 6: Final answer
    x = 4,644.69

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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.