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Finding the Fourth Proportional to 12,811.92, 17,680.32 and 8,100.08

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Solution

The fourth proportional to 12,811.92, 17,680.32 and 8,100.08 is: 11,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.92 : 17,680.32 = 8,100.08 : x
  2. Step 2: Convert to fraction form
    12,811.92/17,680.32 = 8,100.08/x
  3. Step 3: Cross multiply
    12,811.92x = 17,680.32 × 8,100.08
  4. Step 4: Simplify right side
    12,811.92x = 143,212,006.43
  5. Step 5: Solve for x
    x = 143,212,006.43/12,811.92
  6. Step 6: Final answer
    x = 11,178.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.