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Finding the Fourth Proportional to 6,583.57, 9,873.98 and 2,422.50

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Solution

The fourth proportional to 6,583.57, 9,873.98 and 2,422.50 is: 3,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.57 : 9,873.98 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    6,583.57/9,873.98 = 2,422.50/x
  3. Step 3: Cross multiply
    6,583.57x = 9,873.98 × 2,422.50
  4. Step 4: Simplify right side
    6,583.57x = 23,919,716.55
  5. Step 5: Solve for x
    x = 23,919,716.55/6,583.57
  6. Step 6: Final answer
    x = 3,633.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.