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Finding the Fourth Proportional to 16,138.60, 24,203.10 and 6,272.20

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Solution

The fourth proportional to 16,138.60, 24,203.10 and 6,272.20 is: 9,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.60 : 24,203.10 = 6,272.20 : x
  2. Step 2: Convert to fraction form
    16,138.60/24,203.10 = 6,272.20/x
  3. Step 3: Cross multiply
    16,138.60x = 24,203.10 × 6,272.20
  4. Step 4: Simplify right side
    16,138.60x = 151,806,683.82
  5. Step 5: Solve for x
    x = 151,806,683.82/16,138.60
  6. Step 6: Final answer
    x = 9,406.43

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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.