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Finding the Fourth Proportional to 12,200.14, 16,836.42 and 6,611.14

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Solution

The fourth proportional to 12,200.14, 16,836.42 and 6,611.14 is: 9,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.14 : 16,836.42 = 6,611.14 : x
  2. Step 2: Convert to fraction form
    12,200.14/16,836.42 = 6,611.14/x
  3. Step 3: Cross multiply
    12,200.14x = 16,836.42 × 6,611.14
  4. Step 4: Simplify right side
    12,200.14x = 111,307,929.72
  5. Step 5: Solve for x
    x = 111,307,929.72/12,200.14
  6. Step 6: Final answer
    x = 9,123.50

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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.