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Finding the Fourth Proportional to 6,846.61, 10,269.91 and 2,229.61

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Solution

The fourth proportional to 6,846.61, 10,269.91 and 2,229.61 is: 3,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.61 : 10,269.91 = 2,229.61 : x
  2. Step 2: Convert to fraction form
    6,846.61/10,269.91 = 2,229.61/x
  3. Step 3: Cross multiply
    6,846.61x = 10,269.91 × 2,229.61
  4. Step 4: Simplify right side
    6,846.61x = 22,897,896.67
  5. Step 5: Solve for x
    x = 22,897,896.67/6,846.61
  6. Step 6: Final answer
    x = 3,344.41

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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.