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Finding the Fourth Proportional to 11,951.74, 16,493.08 and 6,646.75

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Solution

The fourth proportional to 11,951.74, 16,493.08 and 6,646.75 is: 9,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.74 : 16,493.08 = 6,646.75 : x
  2. Step 2: Convert to fraction form
    11,951.74/16,493.08 = 6,646.75/x
  3. Step 3: Cross multiply
    11,951.74x = 16,493.08 × 6,646.75
  4. Step 4: Simplify right side
    11,951.74x = 109,625,379.49
  5. Step 5: Solve for x
    x = 109,625,379.49/11,951.74
  6. Step 6: Final answer
    x = 9,172.34

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1.5x scale

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.