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Finding the Fourth Proportional to 6,947.03, 10,414.29 and 2,563.40

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Solution

The fourth proportional to 6,947.03, 10,414.29 and 2,563.40 is: 3,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.03 : 10,414.29 = 2,563.40 : x
  2. Step 2: Convert to fraction form
    6,947.03/10,414.29 = 2,563.40/x
  3. Step 3: Cross multiply
    6,947.03x = 10,414.29 × 2,563.40
  4. Step 4: Simplify right side
    6,947.03x = 26,695,990.99
  5. Step 5: Solve for x
    x = 26,695,990.99/6,947.03
  6. Step 6: Final answer
    x = 3,842.79

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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.