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Finding the Fourth Proportional to 6,984.96, 10,471.18 and 2,599.41

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Solution

The fourth proportional to 6,984.96, 10,471.18 and 2,599.41 is: 3,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.96 : 10,471.18 = 2,599.41 : x
  2. Step 2: Convert to fraction form
    6,984.96/10,471.18 = 2,599.41/x
  3. Step 3: Cross multiply
    6,984.96x = 10,471.18 × 2,599.41
  4. Step 4: Simplify right side
    6,984.96x = 27,218,890.00
  5. Step 5: Solve for x
    x = 27,218,890.00/6,984.96
  6. Step 6: Final answer
    x = 3,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.