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Finding the Fourth Proportional to 11,164.88, 16,763.76 and 6,244.16

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Solution

The fourth proportional to 11,164.88, 16,763.76 and 6,244.16 is: 9,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.88 : 16,763.76 = 6,244.16 : x
  2. Step 2: Convert to fraction form
    11,164.88/16,763.76 = 6,244.16/x
  3. Step 3: Cross multiply
    11,164.88x = 16,763.76 × 6,244.16
  4. Step 4: Simplify right side
    11,164.88x = 104,675,599.64
  5. Step 5: Solve for x
    x = 104,675,599.64/11,164.88
  6. Step 6: Final answer
    x = 9,375.43

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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.