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Finding the Fourth Proportional to 23,902.29, 35,857.54 and 7,264.00

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Solution

The fourth proportional to 23,902.29, 35,857.54 and 7,264.00 is: 10,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.29 : 35,857.54 = 7,264.00 : x
  2. Step 2: Convert to fraction form
    23,902.29/35,857.54 = 7,264.00/x
  3. Step 3: Cross multiply
    23,902.29x = 35,857.54 × 7,264.00
  4. Step 4: Simplify right side
    23,902.29x = 260,469,284.45
  5. Step 5: Solve for x
    x = 260,469,284.45/23,902.29
  6. Step 6: Final answer
    x = 10,897.25

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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.