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Finding the Fourth Proportional to 4,906.72, 6,772.08 and 3,584.80

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Solution

The fourth proportional to 4,906.72, 6,772.08 and 3,584.80 is: 4,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.72 : 6,772.08 = 3,584.80 : x
  2. Step 2: Convert to fraction form
    4,906.72/6,772.08 = 3,584.80/x
  3. Step 3: Cross multiply
    4,906.72x = 6,772.08 × 3,584.80
  4. Step 4: Simplify right side
    4,906.72x = 24,276,552.38
  5. Step 5: Solve for x
    x = 24,276,552.38/4,906.72
  6. Step 6: Final answer
    x = 4,947.61

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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.