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Finding the Fourth Proportional to 11,694.27, 16,141.04 and 7,509.81

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Solution

The fourth proportional to 11,694.27, 16,141.04 and 7,509.81 is: 10,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.27 : 16,141.04 = 7,509.81 : x
  2. Step 2: Convert to fraction form
    11,694.27/16,141.04 = 7,509.81/x
  3. Step 3: Cross multiply
    11,694.27x = 16,141.04 × 7,509.81
  4. Step 4: Simplify right side
    11,694.27x = 121,216,106.05
  5. Step 5: Solve for x
    x = 121,216,106.05/11,694.27
  6. Step 6: Final answer
    x = 10,365.43

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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.