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Finding the Fourth Proportional to 6,049.37, 9,074.68 and 1,666.83

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Solution

The fourth proportional to 6,049.37, 9,074.68 and 1,666.83 is: 2,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.37 : 9,074.68 = 1,666.83 : x
  2. Step 2: Convert to fraction form
    6,049.37/9,074.68 = 1,666.83/x
  3. Step 3: Cross multiply
    6,049.37x = 9,074.68 × 1,666.83
  4. Step 4: Simplify right side
    6,049.37x = 15,125,937.06
  5. Step 5: Solve for x
    x = 15,125,937.06/6,049.37
  6. Step 6: Final answer
    x = 2,500.41

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