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Finding the Fourth Proportional to 11,069, 16,604.22 and 4,913

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Solution

The fourth proportional to 11,069, 16,604.22 and 4,913 is: 7,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069 : 16,604.22 = 4,913 : x
  2. Step 2: Convert to fraction form
    11,069/16,604.22 = 4,913/x
  3. Step 3: Cross multiply
    11,069x = 16,604.22 × 4,913
  4. Step 4: Simplify right side
    11,069x = 81,576,532.86
  5. Step 5: Solve for x
    x = 81,576,532.86/11,069
  6. Step 6: Final answer
    x = 7,369.82

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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.