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Finding the Fourth Proportional to 13,752.96, 18,976.32 and 8,448.64

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Solution

The fourth proportional to 13,752.96, 18,976.32 and 8,448.64 is: 11,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.96 : 18,976.32 = 8,448.64 : x
  2. Step 2: Convert to fraction form
    13,752.96/18,976.32 = 8,448.64/x
  3. Step 3: Cross multiply
    13,752.96x = 18,976.32 × 8,448.64
  4. Step 4: Simplify right side
    13,752.96x = 160,324,096.20
  5. Step 5: Solve for x
    x = 160,324,096.20/13,752.96
  6. Step 6: Final answer
    x = 11,657.42

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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.