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Finding the Fourth Proportional to 23,806.50, 35,696.07 and 7,161.60

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Solution

The fourth proportional to 23,806.50, 35,696.07 and 7,161.60 is: 10,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.50 : 35,696.07 = 7,161.60 : x
  2. Step 2: Convert to fraction form
    23,806.50/35,696.07 = 7,161.60/x
  3. Step 3: Cross multiply
    23,806.50x = 35,696.07 × 7,161.60
  4. Step 4: Simplify right side
    23,806.50x = 255,640,974.91
  5. Step 5: Solve for x
    x = 255,640,974.91/23,806.50
  6. Step 6: Final answer
    x = 10,738.28

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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.