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Finding the Fourth Proportional to 6,000.14, 8,999.61 and 1,618.04

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Solution

The fourth proportional to 6,000.14, 8,999.61 and 1,618.04 is: 2,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.14 : 8,999.61 = 1,618.04 : x
  2. Step 2: Convert to fraction form
    6,000.14/8,999.61 = 1,618.04/x
  3. Step 3: Cross multiply
    6,000.14x = 8,999.61 × 1,618.04
  4. Step 4: Simplify right side
    6,000.14x = 14,561,745.40
  5. Step 5: Solve for x
    x = 14,561,745.40/6,000.14
  6. Step 6: Final answer
    x = 2,426.90

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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.