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Finding the Fourth Proportional to 16,225, 22,395.28 and 9,512.08

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Solution

The fourth proportional to 16,225, 22,395.28 and 9,512.08 is: 13,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 22,395.28 = 9,512.08 : x
  2. Step 2: Convert to fraction form
    16,225/22,395.28 = 9,512.08/x
  3. Step 3: Cross multiply
    16,225x = 22,395.28 × 9,512.08
  4. Step 4: Simplify right side
    16,225x = 213,025,694.98
  5. Step 5: Solve for x
    x = 213,025,694.98/16,225
  6. Step 6: Final answer
    x = 13,129.47

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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.