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Finding the Fourth Proportional to 16,093, 24,138.42 and 4,406.32

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Solution

The fourth proportional to 16,093, 24,138.42 and 4,406.32 is: 6,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093 : 24,138.42 = 4,406.32 : x
  2. Step 2: Convert to fraction form
    16,093/24,138.42 = 4,406.32/x
  3. Step 3: Cross multiply
    16,093x = 24,138.42 × 4,406.32
  4. Step 4: Simplify right side
    16,093x = 106,361,602.81
  5. Step 5: Solve for x
    x = 106,361,602.81/16,093
  6. Step 6: Final answer
    x = 6,609.18

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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.