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Finding the Fourth Proportional to 16,474.64, 22,735.05 and 8,921.06

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Solution

The fourth proportional to 16,474.64, 22,735.05 and 8,921.06 is: 12,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.64 : 22,735.05 = 8,921.06 : x
  2. Step 2: Convert to fraction form
    16,474.64/22,735.05 = 8,921.06/x
  3. Step 3: Cross multiply
    16,474.64x = 22,735.05 × 8,921.06
  4. Step 4: Simplify right side
    16,474.64x = 202,820,745.15
  5. Step 5: Solve for x
    x = 202,820,745.15/16,474.64
  6. Step 6: Final answer
    x = 12,311.09

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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.