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Finding the Fourth Proportional to 23,757.40, 35,627.70 and 8,171.40

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Solution

The fourth proportional to 23,757.40, 35,627.70 and 8,171.40 is: 12,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.40 : 35,627.70 = 8,171.40 : x
  2. Step 2: Convert to fraction form
    23,757.40/35,627.70 = 8,171.40/x
  3. Step 3: Cross multiply
    23,757.40x = 35,627.70 × 8,171.40
  4. Step 4: Simplify right side
    23,757.40x = 291,128,187.78
  5. Step 5: Solve for x
    x = 291,128,187.78/23,757.40
  6. Step 6: Final answer
    x = 12,254.21

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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.