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Finding the Fourth Proportional to 6,729.58, 10,094.38 and 2,049.58

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Solution

The fourth proportional to 6,729.58, 10,094.38 and 2,049.58 is: 3,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.58 : 10,094.38 = 2,049.58 : x
  2. Step 2: Convert to fraction form
    6,729.58/10,094.38 = 2,049.58/x
  3. Step 3: Cross multiply
    6,729.58x = 10,094.38 × 2,049.58
  4. Step 4: Simplify right side
    6,729.58x = 20,689,239.36
  5. Step 5: Solve for x
    x = 20,689,239.36/6,729.58
  6. Step 6: Final answer
    x = 3,074.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.