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Finding the Fourth Proportional to 7,876.92, 11,817.21 and 2,682.84

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Solution

The fourth proportional to 7,876.92, 11,817.21 and 2,682.84 is: 4,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.92 : 11,817.21 = 2,682.84 : x
  2. Step 2: Convert to fraction form
    7,876.92/11,817.21 = 2,682.84/x
  3. Step 3: Cross multiply
    7,876.92x = 11,817.21 × 2,682.84
  4. Step 4: Simplify right side
    7,876.92x = 31,703,683.68
  5. Step 5: Solve for x
    x = 31,703,683.68/7,876.92
  6. Step 6: Final answer
    x = 4,024.88

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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.