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Finding the Fourth Proportional to 16,489.65, 24,738.39 and 5,397.24

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Solution

The fourth proportional to 16,489.65, 24,738.39 and 5,397.24 is: 8,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.65 : 24,738.39 = 5,397.24 : x
  2. Step 2: Convert to fraction form
    16,489.65/24,738.39 = 5,397.24/x
  3. Step 3: Cross multiply
    16,489.65x = 24,738.39 × 5,397.24
  4. Step 4: Simplify right side
    16,489.65x = 133,519,028.04
  5. Step 5: Solve for x
    x = 133,519,028.04/16,489.65
  6. Step 6: Final answer
    x = 8,097.14

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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.