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Finding the Fourth Proportional to 36,912.94, 55,378.20 and 11,953

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Solution

The fourth proportional to 36,912.94, 55,378.20 and 11,953 is: 17,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,912.94 : 55,378.20 = 11,953 : x
  2. Step 2: Convert to fraction form
    36,912.94/55,378.20 = 11,953/x
  3. Step 3: Cross multiply
    36,912.94x = 55,378.20 × 11,953
  4. Step 4: Simplify right side
    36,912.94x = 661,935,624.60
  5. Step 5: Solve for x
    x = 661,935,624.60/36,912.94
  6. Step 6: Final answer
    x = 17,932.35

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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.