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Finding the Fourth Proportional to 26,945.50, 40,418.22 and 8,477.50

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Solution

The fourth proportional to 26,945.50, 40,418.22 and 8,477.50 is: 12,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,945.50 : 40,418.22 = 8,477.50 : x
  2. Step 2: Convert to fraction form
    26,945.50/40,418.22 = 8,477.50/x
  3. Step 3: Cross multiply
    26,945.50x = 40,418.22 × 8,477.50
  4. Step 4: Simplify right side
    26,945.50x = 342,645,460.05
  5. Step 5: Solve for x
    x = 342,645,460.05/26,945.50
  6. Step 6: Final answer
    x = 12,716.24

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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.