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Finding the Fourth Proportional to 12,035.96, 16,611.17 and 6,731.07

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Solution

The fourth proportional to 12,035.96, 16,611.17 and 6,731.07 is: 9,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.96 : 16,611.17 = 6,731.07 : x
  2. Step 2: Convert to fraction form
    12,035.96/16,611.17 = 6,731.07/x
  3. Step 3: Cross multiply
    12,035.96x = 16,611.17 × 6,731.07
  4. Step 4: Simplify right side
    12,035.96x = 111,810,914.40
  5. Step 5: Solve for x
    x = 111,810,914.40/12,035.96
  6. Step 6: Final answer
    x = 9,289.74

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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.