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Finding the Fourth Proportional to 12,206.75, 16,846.79 and 6,901.52

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Solution

The fourth proportional to 12,206.75, 16,846.79 and 6,901.52 is: 9,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.75 : 16,846.79 = 6,901.52 : x
  2. Step 2: Convert to fraction form
    12,206.75/16,846.79 = 6,901.52/x
  3. Step 3: Cross multiply
    12,206.75x = 16,846.79 × 6,901.52
  4. Step 4: Simplify right side
    12,206.75x = 116,268,339.38
  5. Step 5: Solve for x
    x = 116,268,339.38/12,206.75
  6. Step 6: Final answer
    x = 9,524.93

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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.