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Finding the Fourth Proportional to 12,253.65, 16,908.28 and 6,947.44

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Solution

The fourth proportional to 12,253.65, 16,908.28 and 6,947.44 is: 9,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.65 : 16,908.28 = 6,947.44 : x
  2. Step 2: Convert to fraction form
    12,253.65/16,908.28 = 6,947.44/x
  3. Step 3: Cross multiply
    12,253.65x = 16,908.28 × 6,947.44
  4. Step 4: Simplify right side
    12,253.65x = 117,469,201.16
  5. Step 5: Solve for x
    x = 117,469,201.16/12,253.65
  6. Step 6: Final answer
    x = 9,586.47

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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.