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Finding the Fourth Proportional to 18,665, 25,758.24 and 10,282.04

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Solution

The fourth proportional to 18,665, 25,758.24 and 10,282.04 is: 14,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665 : 25,758.24 = 10,282.04 : x
  2. Step 2: Convert to fraction form
    18,665/25,758.24 = 10,282.04/x
  3. Step 3: Cross multiply
    18,665x = 25,758.24 × 10,282.04
  4. Step 4: Simplify right side
    18,665x = 264,847,254.01
  5. Step 5: Solve for x
    x = 264,847,254.01/18,665
  6. Step 6: Final answer
    x = 14,189.51

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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.