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Finding the Fourth Proportional to 6,504.58, 9,758.67 and 2,121.49

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Solution

The fourth proportional to 6,504.58, 9,758.67 and 2,121.49 is: 3,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.58 : 9,758.67 = 2,121.49 : x
  2. Step 2: Convert to fraction form
    6,504.58/9,758.67 = 2,121.49/x
  3. Step 3: Cross multiply
    6,504.58x = 9,758.67 × 2,121.49
  4. Step 4: Simplify right side
    6,504.58x = 20,702,920.82
  5. Step 5: Solve for x
    x = 20,702,920.82/6,504.58
  6. Step 6: Final answer
    x = 3,182.82

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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.