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Finding the Fourth Proportional to 8,002.89, 11,997.86 and 3,069.99

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Solution

The fourth proportional to 8,002.89, 11,997.86 and 3,069.99 is: 4,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.89 : 11,997.86 = 3,069.99 : x
  2. Step 2: Convert to fraction form
    8,002.89/11,997.86 = 3,069.99/x
  3. Step 3: Cross multiply
    8,002.89x = 11,997.86 × 3,069.99
  4. Step 4: Simplify right side
    8,002.89x = 36,833,294.87
  5. Step 5: Solve for x
    x = 36,833,294.87/8,002.89
  6. Step 6: Final answer
    x = 4,602.50

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1.5x scale

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.