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Finding the Fourth Proportional to 6,474.25, 9,704.62 and 4,394.42

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Solution

The fourth proportional to 6,474.25, 9,704.62 and 4,394.42 is: 6,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.25 : 9,704.62 = 4,394.42 : x
  2. Step 2: Convert to fraction form
    6,474.25/9,704.62 = 4,394.42/x
  3. Step 3: Cross multiply
    6,474.25x = 9,704.62 × 4,394.42
  4. Step 4: Simplify right side
    6,474.25x = 42,646,116.71
  5. Step 5: Solve for x
    x = 42,646,116.71/6,474.25
  6. Step 6: Final answer
    x = 6,587.04

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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.