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Finding the Fourth Proportional to 6,846.56, 10,269.72 and 2,229.56

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Solution

The fourth proportional to 6,846.56, 10,269.72 and 2,229.56 is: 3,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.56 : 10,269.72 = 2,229.56 : x
  2. Step 2: Convert to fraction form
    6,846.56/10,269.72 = 2,229.56/x
  3. Step 3: Cross multiply
    6,846.56x = 10,269.72 × 2,229.56
  4. Step 4: Simplify right side
    6,846.56x = 22,896,956.92
  5. Step 5: Solve for x
    x = 22,896,956.92/6,846.56
  6. Step 6: Final answer
    x = 3,344.30

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1.5x scale

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.