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Finding the Fourth Proportional to 11,589.69, 17,384.54 and 2,824.59

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Solution

The fourth proportional to 11,589.69, 17,384.54 and 2,824.59 is: 4,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.69 : 17,384.54 = 2,824.59 : x
  2. Step 2: Convert to fraction form
    11,589.69/17,384.54 = 2,824.59/x
  3. Step 3: Cross multiply
    11,589.69x = 17,384.54 × 2,824.59
  4. Step 4: Simplify right side
    11,589.69x = 49,104,183.72
  5. Step 5: Solve for x
    x = 49,104,183.72/11,589.69
  6. Step 6: Final answer
    x = 4,236.89

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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.