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Finding the Fourth Proportional to 6,809.90, 9,397.31 and 3,825.86

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Solution

The fourth proportional to 6,809.90, 9,397.31 and 3,825.86 is: 5,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.90 : 9,397.31 = 3,825.86 : x
  2. Step 2: Convert to fraction form
    6,809.90/9,397.31 = 3,825.86/x
  3. Step 3: Cross multiply
    6,809.90x = 9,397.31 × 3,825.86
  4. Step 4: Simplify right side
    6,809.90x = 35,952,792.44
  5. Step 5: Solve for x
    x = 35,952,792.44/6,809.90
  6. Step 6: Final answer
    x = 5,279.49

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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.