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Finding the Fourth Proportional to 6,002.09, 8,285 and 3,958.15

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Solution

The fourth proportional to 6,002.09, 8,285 and 3,958.15 is: 5,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.09 : 8,285 = 3,958.15 : x
  2. Step 2: Convert to fraction form
    6,002.09/8,285 = 3,958.15/x
  3. Step 3: Cross multiply
    6,002.09x = 8,285 × 3,958.15
  4. Step 4: Simplify right side
    6,002.09x = 32,793,272.75
  5. Step 5: Solve for x
    x = 32,793,272.75/6,002.09
  6. Step 6: Final answer
    x = 5,463.64

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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.