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Finding the Fourth Proportional to 8,006.49, 12,006.68 and 3,845.34

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Solution

The fourth proportional to 8,006.49, 12,006.68 and 3,845.34 is: 5,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.49 : 12,006.68 = 3,845.34 : x
  2. Step 2: Convert to fraction form
    8,006.49/12,006.68 = 3,845.34/x
  3. Step 3: Cross multiply
    8,006.49x = 12,006.68 × 3,845.34
  4. Step 4: Simplify right side
    8,006.49x = 46,169,747.64
  5. Step 5: Solve for x
    x = 46,169,747.64/8,006.49
  6. Step 6: Final answer
    x = 5,766.54

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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.