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Finding the Fourth Proportional to 16,174.83, 22,321.10 and 9,004.64

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Solution

The fourth proportional to 16,174.83, 22,321.10 and 9,004.64 is: 12,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.83 : 22,321.10 = 9,004.64 : x
  2. Step 2: Convert to fraction form
    16,174.83/22,321.10 = 9,004.64/x
  3. Step 3: Cross multiply
    16,174.83x = 22,321.10 × 9,004.64
  4. Step 4: Simplify right side
    16,174.83x = 200,993,313.28
  5. Step 5: Solve for x
    x = 200,993,313.28/16,174.83
  6. Step 6: Final answer
    x = 12,426.30

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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.