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Finding the Fourth Proportional to 6,733.50, 10,097.49 and 2,349.48

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Solution

The fourth proportional to 6,733.50, 10,097.49 and 2,349.48 is: 3,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.50 : 10,097.49 = 2,349.48 : x
  2. Step 2: Convert to fraction form
    6,733.50/10,097.49 = 2,349.48/x
  3. Step 3: Cross multiply
    6,733.50x = 10,097.49 × 2,349.48
  4. Step 4: Simplify right side
    6,733.50x = 23,723,850.81
  5. Step 5: Solve for x
    x = 23,723,850.81/6,733.50
  6. Step 6: Final answer
    x = 3,523.26

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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.