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Finding the Fourth Proportional to 6,304.26, 9,452.79 and 1,920.42

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Solution

The fourth proportional to 6,304.26, 9,452.79 and 1,920.42 is: 2,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.26 : 9,452.79 = 1,920.42 : x
  2. Step 2: Convert to fraction form
    6,304.26/9,452.79 = 1,920.42/x
  3. Step 3: Cross multiply
    6,304.26x = 9,452.79 × 1,920.42
  4. Step 4: Simplify right side
    6,304.26x = 18,153,326.97
  5. Step 5: Solve for x
    x = 18,153,326.97/6,304.26
  6. Step 6: Final answer
    x = 2,879.53

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1.5x scale

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.