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Finding the Fourth Proportional to 11,896.80, 16,410.13 and 7,653.39

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Solution

The fourth proportional to 11,896.80, 16,410.13 and 7,653.39 is: 10,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.80 : 16,410.13 = 7,653.39 : x
  2. Step 2: Convert to fraction form
    11,896.80/16,410.13 = 7,653.39/x
  3. Step 3: Cross multiply
    11,896.80x = 16,410.13 × 7,653.39
  4. Step 4: Simplify right side
    11,896.80x = 125,593,124.84
  5. Step 5: Solve for x
    x = 125,593,124.84/11,896.80
  6. Step 6: Final answer
    x = 10,556.88

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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.