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Finding the Fourth Proportional to 13,662.52, 20,494.20 and 5,342.20

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Solution

The fourth proportional to 13,662.52, 20,494.20 and 5,342.20 is: 8,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.52 : 20,494.20 = 5,342.20 : x
  2. Step 2: Convert to fraction form
    13,662.52/20,494.20 = 5,342.20/x
  3. Step 3: Cross multiply
    13,662.52x = 20,494.20 × 5,342.20
  4. Step 4: Simplify right side
    13,662.52x = 109,484,115.24
  5. Step 5: Solve for x
    x = 109,484,115.24/13,662.52
  6. Step 6: Final answer
    x = 8,013.46

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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.