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Finding the Fourth Proportional to 7,000.20, 9,660.13 and 3,856.39

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Solution

The fourth proportional to 7,000.20, 9,660.13 and 3,856.39 is: 5,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.20 : 9,660.13 = 3,856.39 : x
  2. Step 2: Convert to fraction form
    7,000.20/9,660.13 = 3,856.39/x
  3. Step 3: Cross multiply
    7,000.20x = 9,660.13 × 3,856.39
  4. Step 4: Simplify right side
    7,000.20x = 37,253,194.94
  5. Step 5: Solve for x
    x = 37,253,194.94/7,000.20
  6. Step 6: Final answer
    x = 5,321.73

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Half scale
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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.