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Finding the Fourth Proportional to 8,309.49, 12,469.68 and 3,927.39

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Solution

The fourth proportional to 8,309.49, 12,469.68 and 3,927.39 is: 5,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.49 : 12,469.68 = 3,927.39 : x
  2. Step 2: Convert to fraction form
    8,309.49/12,469.68 = 3,927.39/x
  3. Step 3: Cross multiply
    8,309.49x = 12,469.68 × 3,927.39
  4. Step 4: Simplify right side
    8,309.49x = 48,973,296.54
  5. Step 5: Solve for x
    x = 48,973,296.54/8,309.49
  6. Step 6: Final answer
    x = 5,893.66

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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.