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Finding the Fourth Proportional to 11,224.20, 16,841.16 and 6,024

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Solution

The fourth proportional to 11,224.20, 16,841.16 and 6,024 is: 9,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.20 : 16,841.16 = 6,024 : x
  2. Step 2: Convert to fraction form
    11,224.20/16,841.16 = 6,024/x
  3. Step 3: Cross multiply
    11,224.20x = 16,841.16 × 6,024
  4. Step 4: Simplify right side
    11,224.20x = 101,451,147.84
  5. Step 5: Solve for x
    x = 101,451,147.84/11,224.20
  6. Step 6: Final answer
    x = 9,038.61

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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.