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Finding the Fourth Proportional to 18,434, 27,651.10 and 4,583

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Solution

The fourth proportional to 18,434, 27,651.10 and 4,583 is: 6,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434 : 27,651.10 = 4,583 : x
  2. Step 2: Convert to fraction form
    18,434/27,651.10 = 4,583/x
  3. Step 3: Cross multiply
    18,434x = 27,651.10 × 4,583
  4. Step 4: Simplify right side
    18,434x = 126,724,991.30
  5. Step 5: Solve for x
    x = 126,724,991.30/18,434
  6. Step 6: Final answer
    x = 6,874.52

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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.