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Finding the Fourth Proportional to 12,101.92, 16,696.49 and 7,561.52

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Solution

The fourth proportional to 12,101.92, 16,696.49 and 7,561.52 is: 10,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.92 : 16,696.49 = 7,561.52 : x
  2. Step 2: Convert to fraction form
    12,101.92/16,696.49 = 7,561.52/x
  3. Step 3: Cross multiply
    12,101.92x = 16,696.49 × 7,561.52
  4. Step 4: Simplify right side
    12,101.92x = 126,250,843.06
  5. Step 5: Solve for x
    x = 126,250,843.06/12,101.92
  6. Step 6: Final answer
    x = 10,432.30

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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.