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Finding the Fourth Proportional to 14,425, 19,906.98 and 8,834.92

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Solution

The fourth proportional to 14,425, 19,906.98 and 8,834.92 is: 12,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 19,906.98 = 8,834.92 : x
  2. Step 2: Convert to fraction form
    14,425/19,906.98 = 8,834.92/x
  3. Step 3: Cross multiply
    14,425x = 19,906.98 × 8,834.92
  4. Step 4: Simplify right side
    14,425x = 175,876,575.74
  5. Step 5: Solve for x
    x = 175,876,575.74/14,425
  6. Step 6: Final answer
    x = 12,192.48

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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.