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Finding the Fourth Proportional to 6,834.57, 10,250.02 and 2,938.06

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Solution

The fourth proportional to 6,834.57, 10,250.02 and 2,938.06 is: 4,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.57 : 10,250.02 = 2,938.06 : x
  2. Step 2: Convert to fraction form
    6,834.57/10,250.02 = 2,938.06/x
  3. Step 3: Cross multiply
    6,834.57x = 10,250.02 × 2,938.06
  4. Step 4: Simplify right side
    6,834.57x = 30,115,173.76
  5. Step 5: Solve for x
    x = 30,115,173.76/6,834.57
  6. Step 6: Final answer
    x = 4,406.30

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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.