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Finding the Fourth Proportional to 6,006, 8,285.96 and 3,766.96

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Solution

The fourth proportional to 6,006, 8,285.96 and 3,766.96 is: 5,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006 : 8,285.96 = 3,766.96 : x
  2. Step 2: Convert to fraction form
    6,006/8,285.96 = 3,766.96/x
  3. Step 3: Cross multiply
    6,006x = 8,285.96 × 3,766.96
  4. Step 4: Simplify right side
    6,006x = 31,212,879.88
  5. Step 5: Solve for x
    x = 31,212,879.88/6,006
  6. Step 6: Final answer
    x = 5,196.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.