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Finding the Fourth Proportional to 16,181, 22,327.34 and 9,107.28

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Solution

The fourth proportional to 16,181, 22,327.34 and 9,107.28 is: 12,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181 : 22,327.34 = 9,107.28 : x
  2. Step 2: Convert to fraction form
    16,181/22,327.34 = 9,107.28/x
  3. Step 3: Cross multiply
    16,181x = 22,327.34 × 9,107.28
  4. Step 4: Simplify right side
    16,181x = 203,341,337.04
  5. Step 5: Solve for x
    x = 203,341,337.04/16,181
  6. Step 6: Final answer
    x = 12,566.67

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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.