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Finding the Fourth Proportional to 11,211.84, 16,813.44 and 4,636.44

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Solution

The fourth proportional to 11,211.84, 16,813.44 and 4,636.44 is: 6,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.84 : 16,813.44 = 4,636.44 : x
  2. Step 2: Convert to fraction form
    11,211.84/16,813.44 = 4,636.44/x
  3. Step 3: Cross multiply
    11,211.84x = 16,813.44 × 4,636.44
  4. Step 4: Simplify right side
    11,211.84x = 77,954,505.75
  5. Step 5: Solve for x
    x = 77,954,505.75/11,211.84
  6. Step 6: Final answer
    x = 6,952.87

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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.