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Finding the Fourth Proportional to 23,891.96, 35,838.06 and 7,252.14

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Solution

The fourth proportional to 23,891.96, 35,838.06 and 7,252.14 is: 10,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.96 : 35,838.06 = 7,252.14 : x
  2. Step 2: Convert to fraction form
    23,891.96/35,838.06 = 7,252.14/x
  3. Step 3: Cross multiply
    23,891.96x = 35,838.06 × 7,252.14
  4. Step 4: Simplify right side
    23,891.96x = 259,902,628.45
  5. Step 5: Solve for x
    x = 259,902,628.45/23,891.96
  6. Step 6: Final answer
    x = 10,878.25

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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.