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Finding the Fourth Proportional to 37,954.28, 56,933.64 and 11,659.28

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Solution

The fourth proportional to 37,954.28, 56,933.64 and 11,659.28 is: 17,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954.28 : 56,933.64 = 11,659.28 : x
  2. Step 2: Convert to fraction form
    37,954.28/56,933.64 = 11,659.28/x
  3. Step 3: Cross multiply
    37,954.28x = 56,933.64 × 11,659.28
  4. Step 4: Simplify right side
    37,954.28x = 663,805,250.18
  5. Step 5: Solve for x
    x = 663,805,250.18/37,954.28
  6. Step 6: Final answer
    x = 17,489.60

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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.