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Finding the Fourth Proportional to 6,208.76, 8,568.78 and 3,414.20

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Solution

The fourth proportional to 6,208.76, 8,568.78 and 3,414.20 is: 4,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.76 : 8,568.78 = 3,414.20 : x
  2. Step 2: Convert to fraction form
    6,208.76/8,568.78 = 3,414.20/x
  3. Step 3: Cross multiply
    6,208.76x = 8,568.78 × 3,414.20
  4. Step 4: Simplify right side
    6,208.76x = 29,255,528.68
  5. Step 5: Solve for x
    x = 29,255,528.68/6,208.76
  6. Step 6: Final answer
    x = 4,711.98

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Half scale
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Double 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.