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Finding the Fourth Proportional to 37,644.75, 56,467.26 and 9,942.75

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Solution

The fourth proportional to 37,644.75, 56,467.26 and 9,942.75 is: 14,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.75 : 56,467.26 = 9,942.75 : x
  2. Step 2: Convert to fraction form
    37,644.75/56,467.26 = 9,942.75/x
  3. Step 3: Cross multiply
    37,644.75x = 56,467.26 × 9,942.75
  4. Step 4: Simplify right side
    37,644.75x = 561,439,849.37
  5. Step 5: Solve for x
    x = 561,439,849.37/37,644.75
  6. Step 6: Final answer
    x = 14,914.16

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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.