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Finding the Fourth Proportional to 6,500.56, 9,750.83 and 2,118.01

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Solution

The fourth proportional to 6,500.56, 9,750.83 and 2,118.01 is: 3,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.56 : 9,750.83 = 2,118.01 : x
  2. Step 2: Convert to fraction form
    6,500.56/9,750.83 = 2,118.01/x
  3. Step 3: Cross multiply
    6,500.56x = 9,750.83 × 2,118.01
  4. Step 4: Simplify right side
    6,500.56x = 20,652,355.45
  5. Step 5: Solve for x
    x = 20,652,355.45/6,500.56
  6. Step 6: Final answer
    x = 3,177.01

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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.