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Finding the Fourth Proportional to 12,855.87, 17,736.03 and 8,073

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Solution

The fourth proportional to 12,855.87, 17,736.03 and 8,073 is: 11,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.87 : 17,736.03 = 8,073 : x
  2. Step 2: Convert to fraction form
    12,855.87/17,736.03 = 8,073/x
  3. Step 3: Cross multiply
    12,855.87x = 17,736.03 × 8,073
  4. Step 4: Simplify right side
    12,855.87x = 143,182,970.19
  5. Step 5: Solve for x
    x = 143,182,970.19/12,855.87
  6. Step 6: Final answer
    x = 11,137.56

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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.