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Finding the Fourth Proportional to 13,742.54, 20,612.04 and 5,843.59

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Solution

The fourth proportional to 13,742.54, 20,612.04 and 5,843.59 is: 8,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.54 : 20,612.04 = 5,843.59 : x
  2. Step 2: Convert to fraction form
    13,742.54/20,612.04 = 5,843.59/x
  3. Step 3: Cross multiply
    13,742.54x = 20,612.04 × 5,843.59
  4. Step 4: Simplify right side
    13,742.54x = 120,448,353.32
  5. Step 5: Solve for x
    x = 120,448,353.32/13,742.54
  6. Step 6: Final answer
    x = 8,764.63

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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.