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Finding the Fourth Proportional to 23,902.54, 35,857.91 and 7,264.26

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Solution

The fourth proportional to 23,902.54, 35,857.91 and 7,264.26 is: 10,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.54 : 35,857.91 = 7,264.26 : x
  2. Step 2: Convert to fraction form
    23,902.54/35,857.91 = 7,264.26/x
  3. Step 3: Cross multiply
    23,902.54x = 35,857.91 × 7,264.26
  4. Step 4: Simplify right side
    23,902.54x = 260,481,002.01
  5. Step 5: Solve for x
    x = 260,481,002.01/23,902.54
  6. Step 6: Final answer
    x = 10,897.63

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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.