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Finding the Fourth Proportional to 6,193.64, 9,290.46 and 2,906.73

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Solution

The fourth proportional to 6,193.64, 9,290.46 and 2,906.73 is: 4,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.64 : 9,290.46 = 2,906.73 : x
  2. Step 2: Convert to fraction form
    6,193.64/9,290.46 = 2,906.73/x
  3. Step 3: Cross multiply
    6,193.64x = 9,290.46 × 2,906.73
  4. Step 4: Simplify right side
    6,193.64x = 27,004,869.70
  5. Step 5: Solve for x
    x = 27,004,869.70/6,193.64
  6. Step 6: Final answer
    x = 4,360.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.