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Finding the Fourth Proportional to 11,951.86, 16,493.52 and 6,646.70

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Solution

The fourth proportional to 11,951.86, 16,493.52 and 6,646.70 is: 9,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.86 : 16,493.52 = 6,646.70 : x
  2. Step 2: Convert to fraction form
    11,951.86/16,493.52 = 6,646.70/x
  3. Step 3: Cross multiply
    11,951.86x = 16,493.52 × 6,646.70
  4. Step 4: Simplify right side
    11,951.86x = 109,627,479.38
  5. Step 5: Solve for x
    x = 109,627,479.38/11,951.86
  6. Step 6: Final answer
    x = 9,172.42

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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.