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Finding the Fourth Proportional to 14,601, 20,149.56 and 8,313.96

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Solution

The fourth proportional to 14,601, 20,149.56 and 8,313.96 is: 11,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601 : 20,149.56 = 8,313.96 : x
  2. Step 2: Convert to fraction form
    14,601/20,149.56 = 8,313.96/x
  3. Step 3: Cross multiply
    14,601x = 20,149.56 × 8,313.96
  4. Step 4: Simplify right side
    14,601x = 167,522,635.86
  5. Step 5: Solve for x
    x = 167,522,635.86/14,601
  6. Step 6: Final answer
    x = 11,473.37

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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.