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Finding the Fourth Proportional to 6,830.00, 10,246.03 and 2,446.41

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Solution

The fourth proportional to 6,830.00, 10,246.03 and 2,446.41 is: 3,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.00 : 10,246.03 = 2,446.41 : x
  2. Step 2: Convert to fraction form
    6,830.00/10,246.03 = 2,446.41/x
  3. Step 3: Cross multiply
    6,830.00x = 10,246.03 × 2,446.41
  4. Step 4: Simplify right side
    6,830.00x = 25,066,022.56
  5. Step 5: Solve for x
    x = 25,066,022.56/6,830.00
  6. Step 6: Final answer
    x = 3,669.99

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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.