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Finding the Fourth Proportional to 8,243.84, 12,369.82 and 3,861.60

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Solution

The fourth proportional to 8,243.84, 12,369.82 and 3,861.60 is: 5,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.84 : 12,369.82 = 3,861.60 : x
  2. Step 2: Convert to fraction form
    8,243.84/12,369.82 = 3,861.60/x
  3. Step 3: Cross multiply
    8,243.84x = 12,369.82 × 3,861.60
  4. Step 4: Simplify right side
    8,243.84x = 47,767,296.91
  5. Step 5: Solve for x
    x = 47,767,296.91/8,243.84
  6. Step 6: Final answer
    x = 5,794.30

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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.