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Finding the Fourth Proportional to 6,296.50, 9,446.44 and 5,607.89

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Solution

The fourth proportional to 6,296.50, 9,446.44 and 5,607.89 is: 8,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.50 : 9,446.44 = 5,607.89 : x
  2. Step 2: Convert to fraction form
    6,296.50/9,446.44 = 5,607.89/x
  3. Step 3: Cross multiply
    6,296.50x = 9,446.44 × 5,607.89
  4. Step 4: Simplify right side
    6,296.50x = 52,974,596.41
  5. Step 5: Solve for x
    x = 52,974,596.41/6,296.50
  6. Step 6: Final answer
    x = 8,413.34

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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.