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Finding the Fourth Proportional to 7,086.23, 9,778.31 and 3,899.48

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Solution

The fourth proportional to 7,086.23, 9,778.31 and 3,899.48 is: 5,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.23 : 9,778.31 = 3,899.48 : x
  2. Step 2: Convert to fraction form
    7,086.23/9,778.31 = 3,899.48/x
  3. Step 3: Cross multiply
    7,086.23x = 9,778.31 × 3,899.48
  4. Step 4: Simplify right side
    7,086.23x = 38,130,324.28
  5. Step 5: Solve for x
    x = 38,130,324.28/7,086.23
  6. Step 6: Final answer
    x = 5,380.90

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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.