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Finding the Fourth Proportional to 13,846.72, 20,776.32 and 7,523.52

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Solution

The fourth proportional to 13,846.72, 20,776.32 and 7,523.52 is: 11,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.72 : 20,776.32 = 7,523.52 : x
  2. Step 2: Convert to fraction form
    13,846.72/20,776.32 = 7,523.52/x
  3. Step 3: Cross multiply
    13,846.72x = 20,776.32 × 7,523.52
  4. Step 4: Simplify right side
    13,846.72x = 156,311,059.05
  5. Step 5: Solve for x
    x = 156,311,059.05/13,846.72
  6. Step 6: Final answer
    x = 11,288.67

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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.