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Finding the Fourth Proportional to 8,996, 13,494.48 and 3,450.16

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Solution

The fourth proportional to 8,996, 13,494.48 and 3,450.16 is: 5,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996 : 13,494.48 = 3,450.16 : x
  2. Step 2: Convert to fraction form
    8,996/13,494.48 = 3,450.16/x
  3. Step 3: Cross multiply
    8,996x = 13,494.48 × 3,450.16
  4. Step 4: Simplify right side
    8,996x = 46,558,115.12
  5. Step 5: Solve for x
    x = 46,558,115.12/8,996
  6. Step 6: Final answer
    x = 5,175.42

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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.