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Finding the Fourth Proportional to 12,200.92, 16,837.27 and 6,611.92

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Solution

The fourth proportional to 12,200.92, 16,837.27 and 6,611.92 is: 9,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.92 : 16,837.27 = 6,611.92 : x
  2. Step 2: Convert to fraction form
    12,200.92/16,837.27 = 6,611.92/x
  3. Step 3: Cross multiply
    12,200.92x = 16,837.27 × 6,611.92
  4. Step 4: Simplify right side
    12,200.92x = 111,326,623.64
  5. Step 5: Solve for x
    x = 111,326,623.64/12,200.92
  6. Step 6: Final answer
    x = 9,124.45

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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.