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Finding the Fourth Proportional to 37,467.70, 56,201.55 and 9,765.70

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Solution

The fourth proportional to 37,467.70, 56,201.55 and 9,765.70 is: 14,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467.70 : 56,201.55 = 9,765.70 : x
  2. Step 2: Convert to fraction form
    37,467.70/56,201.55 = 9,765.70/x
  3. Step 3: Cross multiply
    37,467.70x = 56,201.55 × 9,765.70
  4. Step 4: Simplify right side
    37,467.70x = 548,847,476.84
  5. Step 5: Solve for x
    x = 548,847,476.84/37,467.70
  6. Step 6: Final answer
    x = 14,648.55

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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.