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Finding the Fourth Proportional to 16,098, 22,213.42 and 9,023.40

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Solution

The fourth proportional to 16,098, 22,213.42 and 9,023.40 is: 12,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 22,213.42 = 9,023.40 : x
  2. Step 2: Convert to fraction form
    16,098/22,213.42 = 9,023.40/x
  3. Step 3: Cross multiply
    16,098x = 22,213.42 × 9,023.40
  4. Step 4: Simplify right side
    16,098x = 200,440,574.03
  5. Step 5: Solve for x
    x = 200,440,574.03/16,098
  6. Step 6: Final answer
    x = 12,451.27

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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.