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Finding the Fourth Proportional to 6,504.64, 9,758.51 and 2,122.10

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Solution

The fourth proportional to 6,504.64, 9,758.51 and 2,122.10 is: 3,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.64 : 9,758.51 = 2,122.10 : x
  2. Step 2: Convert to fraction form
    6,504.64/9,758.51 = 2,122.10/x
  3. Step 3: Cross multiply
    6,504.64x = 9,758.51 × 2,122.10
  4. Step 4: Simplify right side
    6,504.64x = 20,708,474.67
  5. Step 5: Solve for x
    x = 20,708,474.67/6,504.64
  6. Step 6: Final answer
    x = 3,183.65

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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.