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Finding the Fourth Proportional to 37,937.16, 56,912.22 and 11,639.16

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Solution

The fourth proportional to 37,937.16, 56,912.22 and 11,639.16 is: 17,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,937.16 : 56,912.22 = 11,639.16 : x
  2. Step 2: Convert to fraction form
    37,937.16/56,912.22 = 11,639.16/x
  3. Step 3: Cross multiply
    37,937.16x = 56,912.22 × 11,639.16
  4. Step 4: Simplify right side
    37,937.16x = 662,410,434.54
  5. Step 5: Solve for x
    x = 662,410,434.54/37,937.16
  6. Step 6: Final answer
    x = 17,460.73

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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.