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Finding the Fourth Proportional to 6,809.72, 9,398.43 and 4,158.66

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Solution

The fourth proportional to 6,809.72, 9,398.43 and 4,158.66 is: 5,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.72 : 9,398.43 = 4,158.66 : x
  2. Step 2: Convert to fraction form
    6,809.72/9,398.43 = 4,158.66/x
  3. Step 3: Cross multiply
    6,809.72x = 9,398.43 × 4,158.66
  4. Step 4: Simplify right side
    6,809.72x = 39,084,874.90
  5. Step 5: Solve for x
    x = 39,084,874.90/6,809.72
  6. Step 6: Final answer
    x = 5,739.58

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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.