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Finding the Fourth Proportional to 6,599.55, 9,902.94 and 3,679.50

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Solution

The fourth proportional to 6,599.55, 9,902.94 and 3,679.50 is: 5,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.55 : 9,902.94 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    6,599.55/9,902.94 = 3,679.50/x
  3. Step 3: Cross multiply
    6,599.55x = 9,902.94 × 3,679.50
  4. Step 4: Simplify right side
    6,599.55x = 36,437,867.73
  5. Step 5: Solve for x
    x = 36,437,867.73/6,599.55
  6. Step 6: Final answer
    x = 5,521.27

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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.