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Finding the Fourth Proportional to 18,177, 25,082.88 and 10,217.68

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Solution

The fourth proportional to 18,177, 25,082.88 and 10,217.68 is: 14,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 25,082.88 = 10,217.68 : x
  2. Step 2: Convert to fraction form
    18,177/25,082.88 = 10,217.68/x
  3. Step 3: Cross multiply
    18,177x = 25,082.88 × 10,217.68
  4. Step 4: Simplify right side
    18,177x = 256,288,841.32
  5. Step 5: Solve for x
    x = 256,288,841.32/18,177
  6. Step 6: Final answer
    x = 14,099.62

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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.