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Finding the Fourth Proportional to 12,141.36, 16,754.94 and 6,836.09

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Solution

The fourth proportional to 12,141.36, 16,754.94 and 6,836.09 is: 9,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.36 : 16,754.94 = 6,836.09 : x
  2. Step 2: Convert to fraction form
    12,141.36/16,754.94 = 6,836.09/x
  3. Step 3: Cross multiply
    12,141.36x = 16,754.94 × 6,836.09
  4. Step 4: Simplify right side
    12,141.36x = 114,538,194.01
  5. Step 5: Solve for x
    x = 114,538,194.01/12,141.36
  6. Step 6: Final answer
    x = 9,433.72

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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.