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Finding the Fourth Proportional to 11,889.62, 16,406.07 and 6,584.30

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Solution

The fourth proportional to 11,889.62, 16,406.07 and 6,584.30 is: 9,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.62 : 16,406.07 = 6,584.30 : x
  2. Step 2: Convert to fraction form
    11,889.62/16,406.07 = 6,584.30/x
  3. Step 3: Cross multiply
    11,889.62x = 16,406.07 × 6,584.30
  4. Step 4: Simplify right side
    11,889.62x = 108,022,486.70
  5. Step 5: Solve for x
    x = 108,022,486.70/11,889.62
  6. Step 6: Final answer
    x = 9,085.44

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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.