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Finding the Fourth Proportional to 18,337, 27,506.04 and 4,486

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Solution

The fourth proportional to 18,337, 27,506.04 and 4,486 is: 6,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,337 : 27,506.04 = 4,486 : x
  2. Step 2: Convert to fraction form
    18,337/27,506.04 = 4,486/x
  3. Step 3: Cross multiply
    18,337x = 27,506.04 × 4,486
  4. Step 4: Simplify right side
    18,337x = 123,392,095.44
  5. Step 5: Solve for x
    x = 123,392,095.44/18,337
  6. Step 6: Final answer
    x = 6,729.13

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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.