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Finding the Fourth Proportional to 12,252.14, 16,907.97 and 6,947.96

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Solution

The fourth proportional to 12,252.14, 16,907.97 and 6,947.96 is: 9,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.14 : 16,907.97 = 6,947.96 : x
  2. Step 2: Convert to fraction form
    12,252.14/16,907.97 = 6,947.96/x
  3. Step 3: Cross multiply
    12,252.14x = 16,907.97 × 6,947.96
  4. Step 4: Simplify right side
    12,252.14x = 117,475,899.24
  5. Step 5: Solve for x
    x = 117,475,899.24/12,252.14
  6. Step 6: Final answer
    x = 9,588.19

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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.