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Finding the Fourth Proportional to 8,207.75, 12,311.64 and 2,051.75

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Solution

The fourth proportional to 8,207.75, 12,311.64 and 2,051.75 is: 3,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.75 : 12,311.64 = 2,051.75 : x
  2. Step 2: Convert to fraction form
    8,207.75/12,311.64 = 2,051.75/x
  3. Step 3: Cross multiply
    8,207.75x = 12,311.64 × 2,051.75
  4. Step 4: Simplify right side
    8,207.75x = 25,260,407.37
  5. Step 5: Solve for x
    x = 25,260,407.37/8,207.75
  6. Step 6: Final answer
    x = 3,077.63

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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.