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Finding the Fourth Proportional to 6,930.25, 10,396.74 and 3,544.50

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Solution

The fourth proportional to 6,930.25, 10,396.74 and 3,544.50 is: 5,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.25 : 10,396.74 = 3,544.50 : x
  2. Step 2: Convert to fraction form
    6,930.25/10,396.74 = 3,544.50/x
  3. Step 3: Cross multiply
    6,930.25x = 10,396.74 × 3,544.50
  4. Step 4: Simplify right side
    6,930.25x = 36,851,244.93
  5. Step 5: Solve for x
    x = 36,851,244.93/6,930.25
  6. Step 6: Final answer
    x = 5,317.45

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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.