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Finding the Fourth Proportional to 19,857.12, 29,785.94 and 8,609.88

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Solution

The fourth proportional to 19,857.12, 29,785.94 and 8,609.88 is: 12,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.12 : 29,785.94 = 8,609.88 : x
  2. Step 2: Convert to fraction form
    19,857.12/29,785.94 = 8,609.88/x
  3. Step 3: Cross multiply
    19,857.12x = 29,785.94 × 8,609.88
  4. Step 4: Simplify right side
    19,857.12x = 256,453,369.09
  5. Step 5: Solve for x
    x = 256,453,369.09/19,857.12
  6. Step 6: Final answer
    x = 12,914.93

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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.