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Finding the Fourth Proportional to 8,194.68, 12,274.54 and 5,998.50

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Solution

The fourth proportional to 8,194.68, 12,274.54 and 5,998.50 is: 8,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.68 : 12,274.54 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    8,194.68/12,274.54 = 5,998.50/x
  3. Step 3: Cross multiply
    8,194.68x = 12,274.54 × 5,998.50
  4. Step 4: Simplify right side
    8,194.68x = 73,628,813.19
  5. Step 5: Solve for x
    x = 73,628,813.19/8,194.68
  6. Step 6: Final answer
    x = 8,984.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.