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Finding the Fourth Proportional to 37,963.75, 56,945.64 and 10,261.75

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Solution

The fourth proportional to 37,963.75, 56,945.64 and 10,261.75 is: 15,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,963.75 : 56,945.64 = 10,261.75 : x
  2. Step 2: Convert to fraction form
    37,963.75/56,945.64 = 10,261.75/x
  3. Step 3: Cross multiply
    37,963.75x = 56,945.64 × 10,261.75
  4. Step 4: Simplify right side
    37,963.75x = 584,361,921.27
  5. Step 5: Solve for x
    x = 584,361,921.27/37,963.75
  6. Step 6: Final answer
    x = 15,392.63

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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.