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Finding the Fourth Proportional to 11,194.49, 16,779.71 and 4,170.17

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Solution

The fourth proportional to 11,194.49, 16,779.71 and 4,170.17 is: 6,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.49 : 16,779.71 = 4,170.17 : x
  2. Step 2: Convert to fraction form
    11,194.49/16,779.71 = 4,170.17/x
  3. Step 3: Cross multiply
    11,194.49x = 16,779.71 × 4,170.17
  4. Step 4: Simplify right side
    11,194.49x = 69,974,138.50
  5. Step 5: Solve for x
    x = 69,974,138.50/11,194.49
  6. Step 6: Final answer
    x = 6,250.77

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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.