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Finding the Fourth Proportional to 26,944.01, 40,416.01 and 8,224.14

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Solution

The fourth proportional to 26,944.01, 40,416.01 and 8,224.14 is: 12,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,944.01 : 40,416.01 = 8,224.14 : x
  2. Step 2: Convert to fraction form
    26,944.01/40,416.01 = 8,224.14/x
  3. Step 3: Cross multiply
    26,944.01x = 40,416.01 × 8,224.14
  4. Step 4: Simplify right side
    26,944.01x = 332,386,924.48
  5. Step 5: Solve for x
    x = 332,386,924.48/26,944.01
  6. Step 6: Final answer
    x = 12,336.21

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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.