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Finding the Fourth Proportional to 6,535.56, 9,807.60 and 2,431.56

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Solution

The fourth proportional to 6,535.56, 9,807.60 and 2,431.56 is: 3,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.56 : 9,807.60 = 2,431.56 : x
  2. Step 2: Convert to fraction form
    6,535.56/9,807.60 = 2,431.56/x
  3. Step 3: Cross multiply
    6,535.56x = 9,807.60 × 2,431.56
  4. Step 4: Simplify right side
    6,535.56x = 23,847,767.86
  5. Step 5: Solve for x
    x = 23,847,767.86/6,535.56
  6. Step 6: Final answer
    x = 3,648.92

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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.