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Finding the Fourth Proportional to 19,694.46, 27,179.04 and 10,742.46

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Solution

The fourth proportional to 19,694.46, 27,179.04 and 10,742.46 is: 14,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.46 : 27,179.04 = 10,742.46 : x
  2. Step 2: Convert to fraction form
    19,694.46/27,179.04 = 10,742.46/x
  3. Step 3: Cross multiply
    19,694.46x = 27,179.04 × 10,742.46
  4. Step 4: Simplify right side
    19,694.46x = 291,969,750.04
  5. Step 5: Solve for x
    x = 291,969,750.04/19,694.46
  6. Step 6: Final answer
    x = 14,824.97

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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.