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Finding the Fourth Proportional to 9,000.50, 13,500.18 and 2,760.02

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Solution

The fourth proportional to 9,000.50, 13,500.18 and 2,760.02 is: 4,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.50 : 13,500.18 = 2,760.02 : x
  2. Step 2: Convert to fraction form
    9,000.50/13,500.18 = 2,760.02/x
  3. Step 3: Cross multiply
    9,000.50x = 13,500.18 × 2,760.02
  4. Step 4: Simplify right side
    9,000.50x = 37,260,766.80
  5. Step 5: Solve for x
    x = 37,260,766.80/9,000.50
  6. Step 6: Final answer
    x = 4,139.86

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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.