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Finding the Fourth Proportional to 16,449.67, 24,674.10 and 5,205.79

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Solution

The fourth proportional to 16,449.67, 24,674.10 and 5,205.79 is: 7,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.67 : 24,674.10 = 5,205.79 : x
  2. Step 2: Convert to fraction form
    16,449.67/24,674.10 = 5,205.79/x
  3. Step 3: Cross multiply
    16,449.67x = 24,674.10 × 5,205.79
  4. Step 4: Simplify right side
    16,449.67x = 128,448,183.04
  5. Step 5: Solve for x
    x = 128,448,183.04/16,449.67
  6. Step 6: Final answer
    x = 7,808.56

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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.