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Finding the Fourth Proportional to 27,498, 41,247 and 9,967.85

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Solution

The fourth proportional to 27,498, 41,247 and 9,967.85 is: 14,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498 : 41,247 = 9,967.85 : x
  2. Step 2: Convert to fraction form
    27,498/41,247 = 9,967.85/x
  3. Step 3: Cross multiply
    27,498x = 41,247 × 9,967.85
  4. Step 4: Simplify right side
    27,498x = 411,143,702.72
  5. Step 5: Solve for x
    x = 411,143,702.72/27,498
  6. Step 6: Final answer
    x = 14,951.77

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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.