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Finding the Fourth Proportional to 6,830.50, 10,243.46 and 2,669.43

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Solution

The fourth proportional to 6,830.50, 10,243.46 and 2,669.43 is: 4,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.50 : 10,243.46 = 2,669.43 : x
  2. Step 2: Convert to fraction form
    6,830.50/10,243.46 = 2,669.43/x
  3. Step 3: Cross multiply
    6,830.50x = 10,243.46 × 2,669.43
  4. Step 4: Simplify right side
    6,830.50x = 27,344,199.43
  5. Step 5: Solve for x
    x = 27,344,199.43/6,830.50
  6. Step 6: Final answer
    x = 4,003.25

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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.