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Finding the Fourth Proportional to 7,175.85, 9,902.62 and 3,989.44

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Solution

The fourth proportional to 7,175.85, 9,902.62 and 3,989.44 is: 5,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.85 : 9,902.62 = 3,989.44 : x
  2. Step 2: Convert to fraction form
    7,175.85/9,902.62 = 3,989.44/x
  3. Step 3: Cross multiply
    7,175.85x = 9,902.62 × 3,989.44
  4. Step 4: Simplify right side
    7,175.85x = 39,505,922.99
  5. Step 5: Solve for x
    x = 39,505,922.99/7,175.85
  6. Step 6: Final answer
    x = 5,505.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.