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Finding the Fourth Proportional to 6,731.58, 10,097.10 and 2,350.02

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Solution

The fourth proportional to 6,731.58, 10,097.10 and 2,350.02 is: 3,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.58 : 10,097.10 = 2,350.02 : x
  2. Step 2: Convert to fraction form
    6,731.58/10,097.10 = 2,350.02/x
  3. Step 3: Cross multiply
    6,731.58x = 10,097.10 × 2,350.02
  4. Step 4: Simplify right side
    6,731.58x = 23,728,386.94
  5. Step 5: Solve for x
    x = 23,728,386.94/6,731.58
  6. Step 6: Final answer
    x = 3,524.94

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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.