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Finding the Fourth Proportional to 16,410.70, 22,627 and 11,379.24

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Solution

The fourth proportional to 16,410.70, 22,627 and 11,379.24 is: 15,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.70 : 22,627 = 11,379.24 : x
  2. Step 2: Convert to fraction form
    16,410.70/22,627 = 11,379.24/x
  3. Step 3: Cross multiply
    16,410.70x = 22,627 × 11,379.24
  4. Step 4: Simplify right side
    16,410.70x = 257,478,063.48
  5. Step 5: Solve for x
    x = 257,478,063.48/16,410.70
  6. Step 6: Final answer
    x = 15,689.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.