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Finding the Fourth Proportional to 11,702.17, 16,149 and 6,397

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Solution

The fourth proportional to 11,702.17, 16,149 and 6,397 is: 8,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.17 : 16,149 = 6,397 : x
  2. Step 2: Convert to fraction form
    11,702.17/16,149 = 6,397/x
  3. Step 3: Cross multiply
    11,702.17x = 16,149 × 6,397
  4. Step 4: Simplify right side
    11,702.17x = 103,305,153
  5. Step 5: Solve for x
    x = 103,305,153/11,702.17
  6. Step 6: Final answer
    x = 8,827.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.