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Finding the Fourth Proportional to 18,674.87, 25,771 and 10,177.05

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Solution

The fourth proportional to 18,674.87, 25,771 and 10,177.05 is: 14,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674.87 : 25,771 = 10,177.05 : x
  2. Step 2: Convert to fraction form
    18,674.87/25,771 = 10,177.05/x
  3. Step 3: Cross multiply
    18,674.87x = 25,771 × 10,177.05
  4. Step 4: Simplify right side
    18,674.87x = 262,272,755.55
  5. Step 5: Solve for x
    x = 262,272,755.55/18,674.87
  6. Step 6: Final answer
    x = 14,044.15

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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.