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Finding the Fourth Proportional to 8,996.62, 13,495 and 3,448.64

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Solution

The fourth proportional to 8,996.62, 13,495 and 3,448.64 is: 5,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.62 : 13,495 = 3,448.64 : x
  2. Step 2: Convert to fraction form
    8,996.62/13,495 = 3,448.64/x
  3. Step 3: Cross multiply
    8,996.62x = 13,495 × 3,448.64
  4. Step 4: Simplify right side
    8,996.62x = 46,539,396.80
  5. Step 5: Solve for x
    x = 46,539,396.80/8,996.62
  6. Step 6: Final answer
    x = 5,172.99

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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.