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Finding the Fourth Proportional to 11,229.84, 16,838.16 and 6,731.34

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Solution

The fourth proportional to 11,229.84, 16,838.16 and 6,731.34 is: 10,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.84 : 16,838.16 = 6,731.34 : x
  2. Step 2: Convert to fraction form
    11,229.84/16,838.16 = 6,731.34/x
  3. Step 3: Cross multiply
    11,229.84x = 16,838.16 × 6,731.34
  4. Step 4: Simplify right side
    11,229.84x = 113,343,379.93
  5. Step 5: Solve for x
    x = 113,343,379.93/11,229.84
  6. Step 6: Final answer
    x = 10,093.05

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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.