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Finding the Fourth Proportional to 12,857.60, 19,288.20 and 4,091.60

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Solution

The fourth proportional to 12,857.60, 19,288.20 and 4,091.60 is: 6,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.60 : 19,288.20 = 4,091.60 : x
  2. Step 2: Convert to fraction form
    12,857.60/19,288.20 = 4,091.60/x
  3. Step 3: Cross multiply
    12,857.60x = 19,288.20 × 4,091.60
  4. Step 4: Simplify right side
    12,857.60x = 78,919,599.12
  5. Step 5: Solve for x
    x = 78,919,599.12/12,857.60
  6. Step 6: Final answer
    x = 6,137.97

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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.