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Finding the Fourth Proportional to 9,265.88, 13,900.89 and 3,644.09

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Solution

The fourth proportional to 9,265.88, 13,900.89 and 3,644.09 is: 5,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.88 : 13,900.89 = 3,644.09 : x
  2. Step 2: Convert to fraction form
    9,265.88/13,900.89 = 3,644.09/x
  3. Step 3: Cross multiply
    9,265.88x = 13,900.89 × 3,644.09
  4. Step 4: Simplify right side
    9,265.88x = 50,656,094.24
  5. Step 5: Solve for x
    x = 50,656,094.24/9,265.88
  6. Step 6: Final answer
    x = 5,466.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.