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Finding the Fourth Proportional to 26,946.29, 40,419.44 and 8,226.44

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Solution

The fourth proportional to 26,946.29, 40,419.44 and 8,226.44 is: 12,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946.29 : 40,419.44 = 8,226.44 : x
  2. Step 2: Convert to fraction form
    26,946.29/40,419.44 = 8,226.44/x
  3. Step 3: Cross multiply
    26,946.29x = 40,419.44 × 8,226.44
  4. Step 4: Simplify right side
    26,946.29x = 332,507,854.76
  5. Step 5: Solve for x
    x = 332,507,854.76/26,946.29
  6. Step 6: Final answer
    x = 12,339.65

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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.