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Finding the Fourth Proportional to 8,057.84, 12,086.73 and 2,511.50

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Solution

The fourth proportional to 8,057.84, 12,086.73 and 2,511.50 is: 3,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.84 : 12,086.73 = 2,511.50 : x
  2. Step 2: Convert to fraction form
    8,057.84/12,086.73 = 2,511.50/x
  3. Step 3: Cross multiply
    8,057.84x = 12,086.73 × 2,511.50
  4. Step 4: Simplify right side
    8,057.84x = 30,355,761.96
  5. Step 5: Solve for x
    x = 30,355,761.96/8,057.84
  6. Step 6: Final answer
    x = 3,767.24

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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.