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Finding the Fourth Proportional to 6,589.98, 9,884.94 and 2,207.73

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Solution

The fourth proportional to 6,589.98, 9,884.94 and 2,207.73 is: 3,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.98 : 9,884.94 = 2,207.73 : x
  2. Step 2: Convert to fraction form
    6,589.98/9,884.94 = 2,207.73/x
  3. Step 3: Cross multiply
    6,589.98x = 9,884.94 × 2,207.73
  4. Step 4: Simplify right side
    6,589.98x = 21,823,278.59
  5. Step 5: Solve for x
    x = 21,823,278.59/6,589.98
  6. Step 6: Final answer
    x = 3,311.58

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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.