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Finding the Fourth Proportional to 8,313.57, 12,471.48 and 6,834.24

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Solution

The fourth proportional to 8,313.57, 12,471.48 and 6,834.24 is: 10,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.57 : 12,471.48 = 6,834.24 : x
  2. Step 2: Convert to fraction form
    8,313.57/12,471.48 = 6,834.24/x
  3. Step 3: Cross multiply
    8,313.57x = 12,471.48 × 6,834.24
  4. Step 4: Simplify right side
    8,313.57x = 85,233,087.48
  5. Step 5: Solve for x
    x = 85,233,087.48/8,313.57
  6. Step 6: Final answer
    x = 10,252.28

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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.