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Finding the Fourth Proportional to 11,611.00, 16,023.27 and 6,305.85

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Solution

The fourth proportional to 11,611.00, 16,023.27 and 6,305.85 is: 8,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.00 : 16,023.27 = 6,305.85 : x
  2. Step 2: Convert to fraction form
    11,611.00/16,023.27 = 6,305.85/x
  3. Step 3: Cross multiply
    11,611.00x = 16,023.27 × 6,305.85
  4. Step 4: Simplify right side
    11,611.00x = 101,040,325.31
  5. Step 5: Solve for x
    x = 101,040,325.31/11,611.00
  6. Step 6: Final answer
    x = 8,702.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.