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Finding the Fourth Proportional to 11,696.13, 16,136.07 and 7,212.10

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Solution

The fourth proportional to 11,696.13, 16,136.07 and 7,212.10 is: 9,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.13 : 16,136.07 = 7,212.10 : x
  2. Step 2: Convert to fraction form
    11,696.13/16,136.07 = 7,212.10/x
  3. Step 3: Cross multiply
    11,696.13x = 16,136.07 × 7,212.10
  4. Step 4: Simplify right side
    11,696.13x = 116,374,910.11
  5. Step 5: Solve for x
    x = 116,374,910.11/11,696.13
  6. Step 6: Final answer
    x = 9,949.86

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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.