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Finding the Fourth Proportional to 24,739.62, 37,105.83 and 7,204.74

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Solution

The fourth proportional to 24,739.62, 37,105.83 and 7,204.74 is: 10,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.62 : 37,105.83 = 7,204.74 : x
  2. Step 2: Convert to fraction form
    24,739.62/37,105.83 = 7,204.74/x
  3. Step 3: Cross multiply
    24,739.62x = 37,105.83 × 7,204.74
  4. Step 4: Simplify right side
    24,739.62x = 267,337,857.63
  5. Step 5: Solve for x
    x = 267,337,857.63/24,739.62
  6. Step 6: Final answer
    x = 10,806.06

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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.