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Finding the Fourth Proportional to 26,974.60, 40,461.68 and 8,254.56

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Solution

The fourth proportional to 26,974.60, 40,461.68 and 8,254.56 is: 12,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974.60 : 40,461.68 = 8,254.56 : x
  2. Step 2: Convert to fraction form
    26,974.60/40,461.68 = 8,254.56/x
  3. Step 3: Cross multiply
    26,974.60x = 40,461.68 × 8,254.56
  4. Step 4: Simplify right side
    26,974.60x = 333,993,365.26
  5. Step 5: Solve for x
    x = 333,993,365.26/26,974.60
  6. Step 6: Final answer
    x = 12,381.77

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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.