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Finding the Fourth Proportional to 5,647.71, 8,469.17 and 2,313.66

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Solution

The fourth proportional to 5,647.71, 8,469.17 and 2,313.66 is: 3,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.71 : 8,469.17 = 2,313.66 : x
  2. Step 2: Convert to fraction form
    5,647.71/8,469.17 = 2,313.66/x
  3. Step 3: Cross multiply
    5,647.71x = 8,469.17 × 2,313.66
  4. Step 4: Simplify right side
    5,647.71x = 19,594,768.29
  5. Step 5: Solve for x
    x = 19,594,768.29/5,647.71
  6. Step 6: Final answer
    x = 3,469.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.