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Finding the Fourth Proportional to 6,655.08, 9,983.70 and 2,037

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Solution

The fourth proportional to 6,655.08, 9,983.70 and 2,037 is: 3,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.08 : 9,983.70 = 2,037 : x
  2. Step 2: Convert to fraction form
    6,655.08/9,983.70 = 2,037/x
  3. Step 3: Cross multiply
    6,655.08x = 9,983.70 × 2,037
  4. Step 4: Simplify right side
    6,655.08x = 20,336,796.90
  5. Step 5: Solve for x
    x = 20,336,796.90/6,655.08
  6. Step 6: Final answer
    x = 3,055.83

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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.