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Finding the Fourth Proportional to 11,093.85, 16,599.06 and 6,167.07

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Solution

The fourth proportional to 11,093.85, 16,599.06 and 6,167.07 is: 9,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.85 : 16,599.06 = 6,167.07 : x
  2. Step 2: Convert to fraction form
    11,093.85/16,599.06 = 6,167.07/x
  3. Step 3: Cross multiply
    11,093.85x = 16,599.06 × 6,167.07
  4. Step 4: Simplify right side
    11,093.85x = 102,367,564.95
  5. Step 5: Solve for x
    x = 102,367,564.95/11,093.85
  6. Step 6: Final answer
    x = 9,227.42

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1.5x scale

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.