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Finding the Fourth Proportional to 12,201.96, 16,836.01 and 7,952.64

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Solution

The fourth proportional to 12,201.96, 16,836.01 and 7,952.64 is: 10,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 16,836.01 = 7,952.64 : x
  2. Step 2: Convert to fraction form
    12,201.96/16,836.01 = 7,952.64/x
  3. Step 3: Cross multiply
    12,201.96x = 16,836.01 × 7,952.64
  4. Step 4: Simplify right side
    12,201.96x = 133,890,726.57
  5. Step 5: Solve for x
    x = 133,890,726.57/12,201.96
  6. Step 6: Final answer
    x = 10,972.89

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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.