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Finding the Fourth Proportional to 8,189.84, 12,284.75 and 2,033.84

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Solution

The fourth proportional to 8,189.84, 12,284.75 and 2,033.84 is: 3,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.84 : 12,284.75 = 2,033.84 : x
  2. Step 2: Convert to fraction form
    8,189.84/12,284.75 = 2,033.84/x
  3. Step 3: Cross multiply
    8,189.84x = 12,284.75 × 2,033.84
  4. Step 4: Simplify right side
    8,189.84x = 24,985,215.94
  5. Step 5: Solve for x
    x = 24,985,215.94/8,189.84
  6. Step 6: Final answer
    x = 3,050.76

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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.