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Finding the Fourth Proportional to 13,992.75, 20,989.14 and 4,758.75

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Solution

The fourth proportional to 13,992.75, 20,989.14 and 4,758.75 is: 7,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.75 : 20,989.14 = 4,758.75 : x
  2. Step 2: Convert to fraction form
    13,992.75/20,989.14 = 4,758.75/x
  3. Step 3: Cross multiply
    13,992.75x = 20,989.14 × 4,758.75
  4. Step 4: Simplify right side
    13,992.75x = 99,882,069.98
  5. Step 5: Solve for x
    x = 99,882,069.98/13,992.75
  6. Step 6: Final answer
    x = 7,138.13

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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.