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Finding the Fourth Proportional to 12,698.43, 17,524.89 and 7,392.93

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Solution

The fourth proportional to 12,698.43, 17,524.89 and 7,392.93 is: 10,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.43 : 17,524.89 = 7,392.93 : x
  2. Step 2: Convert to fraction form
    12,698.43/17,524.89 = 7,392.93/x
  3. Step 3: Cross multiply
    12,698.43x = 17,524.89 × 7,392.93
  4. Step 4: Simplify right side
    12,698.43x = 129,560,285.03
  5. Step 5: Solve for x
    x = 129,560,285.03/12,698.43
  6. Step 6: Final answer
    x = 10,202.86

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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.