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Finding the Fourth Proportional to 15,162.43, 20,923.70 and 8,447.64

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Solution

The fourth proportional to 15,162.43, 20,923.70 and 8,447.64 is: 11,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.43 : 20,923.70 = 8,447.64 : x
  2. Step 2: Convert to fraction form
    15,162.43/20,923.70 = 8,447.64/x
  3. Step 3: Cross multiply
    15,162.43x = 20,923.70 × 8,447.64
  4. Step 4: Simplify right side
    15,162.43x = 176,755,842.83
  5. Step 5: Solve for x
    x = 176,755,842.83/15,162.43
  6. Step 6: Final answer
    x = 11,657.49

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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.