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Finding the Fourth Proportional to 11,696.34, 16,141.91 and 6,662.14

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Solution

The fourth proportional to 11,696.34, 16,141.91 and 6,662.14 is: 9,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.34 : 16,141.91 = 6,662.14 : x
  2. Step 2: Convert to fraction form
    11,696.34/16,141.91 = 6,662.14/x
  3. Step 3: Cross multiply
    11,696.34x = 16,141.91 × 6,662.14
  4. Step 4: Simplify right side
    11,696.34x = 107,539,664.29
  5. Step 5: Solve for x
    x = 107,539,664.29/11,696.34
  6. Step 6: Final answer
    x = 9,194.30

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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.