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Finding the Fourth Proportional to 11,663.56, 16,101.66 and 7,906.58

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Solution

The fourth proportional to 11,663.56, 16,101.66 and 7,906.58 is: 10,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.56 : 16,101.66 = 7,906.58 : x
  2. Step 2: Convert to fraction form
    11,663.56/16,101.66 = 7,906.58/x
  3. Step 3: Cross multiply
    11,663.56x = 16,101.66 × 7,906.58
  4. Step 4: Simplify right side
    11,663.56x = 127,309,062.92
  5. Step 5: Solve for x
    x = 127,309,062.92/11,663.56
  6. Step 6: Final answer
    x = 10,915.11

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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.