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Finding the Fourth Proportional to 11,857.34, 17,786.01 and 4,066.22

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Solution

The fourth proportional to 11,857.34, 17,786.01 and 4,066.22 is: 6,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.34 : 17,786.01 = 4,066.22 : x
  2. Step 2: Convert to fraction form
    11,857.34/17,786.01 = 4,066.22/x
  3. Step 3: Cross multiply
    11,857.34x = 17,786.01 × 4,066.22
  4. Step 4: Simplify right side
    11,857.34x = 72,321,829.58
  5. Step 5: Solve for x
    x = 72,321,829.58/11,857.34
  6. Step 6: Final answer
    x = 6,099.33

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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.