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Finding the Fourth Proportional to 7,896.70, 11,843.44 and 2,966.24

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Solution

The fourth proportional to 7,896.70, 11,843.44 and 2,966.24 is: 4,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.70 : 11,843.44 = 2,966.24 : x
  2. Step 2: Convert to fraction form
    7,896.70/11,843.44 = 2,966.24/x
  3. Step 3: Cross multiply
    7,896.70x = 11,843.44 × 2,966.24
  4. Step 4: Simplify right side
    7,896.70x = 35,130,485.47
  5. Step 5: Solve for x
    x = 35,130,485.47/7,896.70
  6. Step 6: Final answer
    x = 4,448.76

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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.