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Finding the Fourth Proportional to 12,171.38, 16,797.09 and 6,866.07

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Solution

The fourth proportional to 12,171.38, 16,797.09 and 6,866.07 is: 9,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.38 : 16,797.09 = 6,866.07 : x
  2. Step 2: Convert to fraction form
    12,171.38/16,797.09 = 6,866.07/x
  3. Step 3: Cross multiply
    12,171.38x = 16,797.09 × 6,866.07
  4. Step 4: Simplify right side
    12,171.38x = 115,329,995.74
  5. Step 5: Solve for x
    x = 115,329,995.74/12,171.38
  6. Step 6: Final answer
    x = 9,475.51

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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.