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Finding the Fourth Proportional to 37,896.56, 56,844.80 and 10,194.56

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Solution

The fourth proportional to 37,896.56, 56,844.80 and 10,194.56 is: 15,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896.56 : 56,844.80 = 10,194.56 : x
  2. Step 2: Convert to fraction form
    37,896.56/56,844.80 = 10,194.56/x
  3. Step 3: Cross multiply
    37,896.56x = 56,844.80 × 10,194.56
  4. Step 4: Simplify right side
    37,896.56x = 579,507,724.29
  5. Step 5: Solve for x
    x = 579,507,724.29/37,896.56
  6. Step 6: Final answer
    x = 15,291.83

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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.