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Finding the Fourth Proportional to 11,522.88, 17,284.32 and 3,314.88

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Solution

The fourth proportional to 11,522.88, 17,284.32 and 3,314.88 is: 4,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.88 : 17,284.32 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    11,522.88/17,284.32 = 3,314.88/x
  3. Step 3: Cross multiply
    11,522.88x = 17,284.32 × 3,314.88
  4. Step 4: Simplify right side
    11,522.88x = 57,295,446.68
  5. Step 5: Solve for x
    x = 57,295,446.68/11,522.88
  6. Step 6: Final answer
    x = 4,972.32

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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.