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Finding the Fourth Proportional to 6,175.49, 8,522.10 and 3,522.95

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Solution

The fourth proportional to 6,175.49, 8,522.10 and 3,522.95 is: 4,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.49 : 8,522.10 = 3,522.95 : x
  2. Step 2: Convert to fraction form
    6,175.49/8,522.10 = 3,522.95/x
  3. Step 3: Cross multiply
    6,175.49x = 8,522.10 × 3,522.95
  4. Step 4: Simplify right side
    6,175.49x = 30,022,889.58
  5. Step 5: Solve for x
    x = 30,022,889.58/6,175.49
  6. Step 6: Final answer
    x = 4,861.62

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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.