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Finding the Fourth Proportional to 6,589.71, 9,096.77 and 4,202.88

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Solution

The fourth proportional to 6,589.71, 9,096.77 and 4,202.88 is: 5,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.71 : 9,096.77 = 4,202.88 : x
  2. Step 2: Convert to fraction form
    6,589.71/9,096.77 = 4,202.88/x
  3. Step 3: Cross multiply
    6,589.71x = 9,096.77 × 4,202.88
  4. Step 4: Simplify right side
    6,589.71x = 38,232,611.68
  5. Step 5: Solve for x
    x = 38,232,611.68/6,589.71
  6. Step 6: Final answer
    x = 5,801.87

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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.