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Finding the Fourth Proportional to 7,175.70, 10,748.43 and 3,283.38

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Solution

The fourth proportional to 7,175.70, 10,748.43 and 3,283.38 is: 4,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.70 : 10,748.43 = 3,283.38 : x
  2. Step 2: Convert to fraction form
    7,175.70/10,748.43 = 3,283.38/x
  3. Step 3: Cross multiply
    7,175.70x = 10,748.43 × 3,283.38
  4. Step 4: Simplify right side
    7,175.70x = 35,291,180.09
  5. Step 5: Solve for x
    x = 35,291,180.09/7,175.70
  6. Step 6: Final answer
    x = 4,918.15

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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.