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Finding the Fourth Proportional to 26,969.84, 40,462.10 and 8,249.46

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Solution

The fourth proportional to 26,969.84, 40,462.10 and 8,249.46 is: 12,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.84 : 40,462.10 = 8,249.46 : x
  2. Step 2: Convert to fraction form
    26,969.84/40,462.10 = 8,249.46/x
  3. Step 3: Cross multiply
    26,969.84x = 40,462.10 × 8,249.46
  4. Step 4: Simplify right side
    26,969.84x = 333,790,313.42
  5. Step 5: Solve for x
    x = 333,790,313.42/26,969.84
  6. Step 6: Final answer
    x = 12,376.43

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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.