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Finding the Fourth Proportional to 5,006.52, 6,906.70 and 3,238.70

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Solution

The fourth proportional to 5,006.52, 6,906.70 and 3,238.70 is: 4,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.52 : 6,906.70 = 3,238.70 : x
  2. Step 2: Convert to fraction form
    5,006.52/6,906.70 = 3,238.70/x
  3. Step 3: Cross multiply
    5,006.52x = 6,906.70 × 3,238.70
  4. Step 4: Simplify right side
    5,006.52x = 22,368,698.80
  5. Step 5: Solve for x
    x = 22,368,698.80/5,006.52
  6. Step 6: Final answer
    x = 4,467.91

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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.