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Finding the Fourth Proportional to 6,317, 8,717.46 and 3,522.68

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Solution

The fourth proportional to 6,317, 8,717.46 and 3,522.68 is: 4,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317 : 8,717.46 = 3,522.68 : x
  2. Step 2: Convert to fraction form
    6,317/8,717.46 = 3,522.68/x
  3. Step 3: Cross multiply
    6,317x = 8,717.46 × 3,522.68
  4. Step 4: Simplify right side
    6,317x = 30,708,821.99
  5. Step 5: Solve for x
    x = 30,708,821.99/6,317
  6. Step 6: Final answer
    x = 4,861.30

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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.