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Finding the Fourth Proportional to 11,753.78, 16,206.92 and 7,499.16

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Solution

The fourth proportional to 11,753.78, 16,206.92 and 7,499.16 is: 10,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.78 : 16,206.92 = 7,499.16 : x
  2. Step 2: Convert to fraction form
    11,753.78/16,206.92 = 7,499.16/x
  3. Step 3: Cross multiply
    11,753.78x = 16,206.92 × 7,499.16
  4. Step 4: Simplify right side
    11,753.78x = 121,538,286.19
  5. Step 5: Solve for x
    x = 121,538,286.19/11,753.78
  6. Step 6: Final answer
    x = 10,340.36

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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.