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Finding the Fourth Proportional to 26,922.75, 40,385.76 and 8,454.75

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Solution

The fourth proportional to 26,922.75, 40,385.76 and 8,454.75 is: 12,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.75 : 40,385.76 = 8,454.75 : x
  2. Step 2: Convert to fraction form
    26,922.75/40,385.76 = 8,454.75/x
  3. Step 3: Cross multiply
    26,922.75x = 40,385.76 × 8,454.75
  4. Step 4: Simplify right side
    26,922.75x = 341,451,504.36
  5. Step 5: Solve for x
    x = 341,451,504.36/26,922.75
  6. Step 6: Final answer
    x = 12,682.64

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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.