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Finding the Fourth Proportional to 11,217.73, 16,804.69 and 6,824.29

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Solution

The fourth proportional to 11,217.73, 16,804.69 and 6,824.29 is: 10,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.73 : 16,804.69 = 6,824.29 : x
  2. Step 2: Convert to fraction form
    11,217.73/16,804.69 = 6,824.29/x
  3. Step 3: Cross multiply
    11,217.73x = 16,804.69 × 6,824.29
  4. Step 4: Simplify right side
    11,217.73x = 114,680,077.92
  5. Step 5: Solve for x
    x = 114,680,077.92/11,217.73
  6. Step 6: Final answer
    x = 10,223.11

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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.