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Finding the Fourth Proportional to 6,099.99, 8,414.89 and 3,858.09

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Solution

The fourth proportional to 6,099.99, 8,414.89 and 3,858.09 is: 5,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.99 : 8,414.89 = 3,858.09 : x
  2. Step 2: Convert to fraction form
    6,099.99/8,414.89 = 3,858.09/x
  3. Step 3: Cross multiply
    6,099.99x = 8,414.89 × 3,858.09
  4. Step 4: Simplify right side
    6,099.99x = 32,465,402.96
  5. Step 5: Solve for x
    x = 32,465,402.96/6,099.99
  6. Step 6: Final answer
    x = 5,322.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.