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Finding the Fourth Proportional to 16,207, 24,314.61 and 4,520.22

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Solution

The fourth proportional to 16,207, 24,314.61 and 4,520.22 is: 6,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 24,314.61 = 4,520.22 : x
  2. Step 2: Convert to fraction form
    16,207/24,314.61 = 4,520.22/x
  3. Step 3: Cross multiply
    16,207x = 24,314.61 × 4,520.22
  4. Step 4: Simplify right side
    16,207x = 109,907,375.11
  5. Step 5: Solve for x
    x = 109,907,375.11/16,207
  6. Step 6: Final answer
    x = 6,781.48

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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.