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Finding the Fourth Proportional to 12,694.97, 19,042.46 and 3,460.97

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Solution

The fourth proportional to 12,694.97, 19,042.46 and 3,460.97 is: 5,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.97 : 19,042.46 = 3,460.97 : x
  2. Step 2: Convert to fraction form
    12,694.97/19,042.46 = 3,460.97/x
  3. Step 3: Cross multiply
    12,694.97x = 19,042.46 × 3,460.97
  4. Step 4: Simplify right side
    12,694.97x = 65,905,341.68
  5. Step 5: Solve for x
    x = 65,905,341.68/12,694.97
  6. Step 6: Final answer
    x = 5,191.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.