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Finding the Fourth Proportional to 11,602.44, 16,011.27 and 9,921.69

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Solution

The fourth proportional to 11,602.44, 16,011.27 and 9,921.69 is: 13,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.44 : 16,011.27 = 9,921.69 : x
  2. Step 2: Convert to fraction form
    11,602.44/16,011.27 = 9,921.69/x
  3. Step 3: Cross multiply
    11,602.44x = 16,011.27 × 9,921.69
  4. Step 4: Simplify right side
    11,602.44x = 158,858,857.45
  5. Step 5: Solve for x
    x = 158,858,857.45/11,602.44
  6. Step 6: Final answer
    x = 13,691.85

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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.