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Finding the Fourth Proportional to 11,734.88, 16,192.08 and 6,696.80

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Solution

The fourth proportional to 11,734.88, 16,192.08 and 6,696.80 is: 9,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.88 : 16,192.08 = 6,696.80 : x
  2. Step 2: Convert to fraction form
    11,734.88/16,192.08 = 6,696.80/x
  3. Step 3: Cross multiply
    11,734.88x = 16,192.08 × 6,696.80
  4. Step 4: Simplify right side
    11,734.88x = 108,435,121.34
  5. Step 5: Solve for x
    x = 108,435,121.34/11,734.88
  6. Step 6: Final answer
    x = 9,240.41

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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.