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Finding the Fourth Proportional to 6,138.99, 9,194.82 and 3,676.79

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Solution

The fourth proportional to 6,138.99, 9,194.82 and 3,676.79 is: 5,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.99 : 9,194.82 = 3,676.79 : x
  2. Step 2: Convert to fraction form
    6,138.99/9,194.82 = 3,676.79/x
  3. Step 3: Cross multiply
    6,138.99x = 9,194.82 × 3,676.79
  4. Step 4: Simplify right side
    6,138.99x = 33,807,431.43
  5. Step 5: Solve for x
    x = 33,807,431.43/6,138.99
  6. Step 6: Final answer
    x = 5,507.00

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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.