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Finding the Fourth Proportional to 12,698.88, 17,524.24 and 10,012.92

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Solution

The fourth proportional to 12,698.88, 17,524.24 and 10,012.92 is: 13,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.88 : 17,524.24 = 10,012.92 : x
  2. Step 2: Convert to fraction form
    12,698.88/17,524.24 = 10,012.92/x
  3. Step 3: Cross multiply
    12,698.88x = 17,524.24 × 10,012.92
  4. Step 4: Simplify right side
    12,698.88x = 175,468,813.18
  5. Step 5: Solve for x
    x = 175,468,813.18/12,698.88
  6. Step 6: Final answer
    x = 13,817.66

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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.