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Finding the Fourth Proportional to 6,883.20, 9,498.61 and 3,739.38

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Solution

The fourth proportional to 6,883.20, 9,498.61 and 3,739.38 is: 5,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.20 : 9,498.61 = 3,739.38 : x
  2. Step 2: Convert to fraction form
    6,883.20/9,498.61 = 3,739.38/x
  3. Step 3: Cross multiply
    6,883.20x = 9,498.61 × 3,739.38
  4. Step 4: Simplify right side
    6,883.20x = 35,518,912.26
  5. Step 5: Solve for x
    x = 35,518,912.26/6,883.20
  6. Step 6: Final answer
    x = 5,160.23

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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.