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Finding the Fourth Proportional to 23,896.80, 35,844.17 and 7,256.46

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Solution

The fourth proportional to 23,896.80, 35,844.17 and 7,256.46 is: 10,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.80 : 35,844.17 = 7,256.46 : x
  2. Step 2: Convert to fraction form
    23,896.80/35,844.17 = 7,256.46/x
  3. Step 3: Cross multiply
    23,896.80x = 35,844.17 × 7,256.46
  4. Step 4: Simplify right side
    23,896.80x = 260,101,749.56
  5. Step 5: Solve for x
    x = 260,101,749.56/23,896.80
  6. Step 6: Final answer
    x = 10,884.38

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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.