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Finding the Fourth Proportional to 8,400.44, 11,578.34 and 5,743.24

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Solution

The fourth proportional to 8,400.44, 11,578.34 and 5,743.24 is: 7,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.44 : 11,578.34 = 5,743.24 : x
  2. Step 2: Convert to fraction form
    8,400.44/11,578.34 = 5,743.24/x
  3. Step 3: Cross multiply
    8,400.44x = 11,578.34 × 5,743.24
  4. Step 4: Simplify right side
    8,400.44x = 66,497,185.42
  5. Step 5: Solve for x
    x = 66,497,185.42/8,400.44
  6. Step 6: Final answer
    x = 7,915.92

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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.