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Finding the Fourth Proportional to 13,754.86, 18,981.34 and 7,787.09

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Solution

The fourth proportional to 13,754.86, 18,981.34 and 7,787.09 is: 10,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.86 : 18,981.34 = 7,787.09 : x
  2. Step 2: Convert to fraction form
    13,754.86/18,981.34 = 7,787.09/x
  3. Step 3: Cross multiply
    13,754.86x = 18,981.34 × 7,787.09
  4. Step 4: Simplify right side
    13,754.86x = 147,809,324.12
  5. Step 5: Solve for x
    x = 147,809,324.12/13,754.86
  6. Step 6: Final answer
    x = 10,745.97

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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.