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Finding the Fourth Proportional to 6,002.57, 8,284.02 and 3,350.38

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Solution

The fourth proportional to 6,002.57, 8,284.02 and 3,350.38 is: 4,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.57 : 8,284.02 = 3,350.38 : x
  2. Step 2: Convert to fraction form
    6,002.57/8,284.02 = 3,350.38/x
  3. Step 3: Cross multiply
    6,002.57x = 8,284.02 × 3,350.38
  4. Step 4: Simplify right side
    6,002.57x = 27,754,585.84
  5. Step 5: Solve for x
    x = 27,754,585.84/6,002.57
  6. Step 6: Final answer
    x = 4,623.78

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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.