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Finding the Fourth Proportional to 13,782.70, 20,680.83 and 5,468.65

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Solution

The fourth proportional to 13,782.70, 20,680.83 and 5,468.65 is: 8,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.70 : 20,680.83 = 5,468.65 : x
  2. Step 2: Convert to fraction form
    13,782.70/20,680.83 = 5,468.65/x
  3. Step 3: Cross multiply
    13,782.70x = 20,680.83 × 5,468.65
  4. Step 4: Simplify right side
    13,782.70x = 113,096,220.98
  5. Step 5: Solve for x
    x = 113,096,220.98/13,782.70
  6. Step 6: Final answer
    x = 8,205.67

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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.