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Finding the Fourth Proportional to 26,906.51, 40,359.77 and 8,184.88

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Solution

The fourth proportional to 26,906.51, 40,359.77 and 8,184.88 is: 12,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.51 : 40,359.77 = 8,184.88 : x
  2. Step 2: Convert to fraction form
    26,906.51/40,359.77 = 8,184.88/x
  3. Step 3: Cross multiply
    26,906.51x = 40,359.77 × 8,184.88
  4. Step 4: Simplify right side
    26,906.51x = 330,339,914.50
  5. Step 5: Solve for x
    x = 330,339,914.50/26,906.51
  6. Step 6: Final answer
    x = 12,277.32

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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.