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Finding the Fourth Proportional to 17,960.98, 26,946.96 and 9,202.12

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Solution

The fourth proportional to 17,960.98, 26,946.96 and 9,202.12 is: 13,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.98 : 26,946.96 = 9,202.12 : x
  2. Step 2: Convert to fraction form
    17,960.98/26,946.96 = 9,202.12/x
  3. Step 3: Cross multiply
    17,960.98x = 26,946.96 × 9,202.12
  4. Step 4: Simplify right side
    17,960.98x = 247,969,159.56
  5. Step 5: Solve for x
    x = 247,969,159.56/17,960.98
  6. Step 6: Final answer
    x = 13,805.99

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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.