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Finding the Fourth Proportional to 12,859.98, 19,297.17 and 7,022.94

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Solution

The fourth proportional to 12,859.98, 19,297.17 and 7,022.94 is: 10,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.98 : 19,297.17 = 7,022.94 : x
  2. Step 2: Convert to fraction form
    12,859.98/19,297.17 = 7,022.94/x
  3. Step 3: Cross multiply
    12,859.98x = 19,297.17 × 7,022.94
  4. Step 4: Simplify right side
    12,859.98x = 135,522,867.08
  5. Step 5: Solve for x
    x = 135,522,867.08/12,859.98
  6. Step 6: Final answer
    x = 10,538.34

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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.