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Finding the Fourth Proportional to 16,107, 22,227.70 and 9,397.24

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Solution

The fourth proportional to 16,107, 22,227.70 and 9,397.24 is: 12,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107 : 22,227.70 = 9,397.24 : x
  2. Step 2: Convert to fraction form
    16,107/22,227.70 = 9,397.24/x
  3. Step 3: Cross multiply
    16,107x = 22,227.70 × 9,397.24
  4. Step 4: Simplify right side
    16,107x = 208,879,031.55
  5. Step 5: Solve for x
    x = 208,879,031.55/16,107
  6. Step 6: Final answer
    x = 12,968.21

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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.