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Finding the Fourth Proportional to 15,857.70, 23,771.70 and 6,003.60

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Solution

The fourth proportional to 15,857.70, 23,771.70 and 6,003.60 is: 8,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.70 : 23,771.70 = 6,003.60 : x
  2. Step 2: Convert to fraction form
    15,857.70/23,771.70 = 6,003.60/x
  3. Step 3: Cross multiply
    15,857.70x = 23,771.70 × 6,003.60
  4. Step 4: Simplify right side
    15,857.70x = 142,715,778.12
  5. Step 5: Solve for x
    x = 142,715,778.12/15,857.70
  6. Step 6: Final answer
    x = 8,999.78

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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.