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Finding the Fourth Proportional to 16,087, 22,201.44 and 9,373.24

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Solution

The fourth proportional to 16,087, 22,201.44 and 9,373.24 is: 12,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087 : 22,201.44 = 9,373.24 : x
  2. Step 2: Convert to fraction form
    16,087/22,201.44 = 9,373.24/x
  3. Step 3: Cross multiply
    16,087x = 22,201.44 × 9,373.24
  4. Step 4: Simplify right side
    16,087x = 208,099,425.47
  5. Step 5: Solve for x
    x = 208,099,425.47/16,087
  6. Step 6: Final answer
    x = 12,935.88

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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.