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Finding the Fourth Proportional to 11,857.60, 17,767.20 and 7,467.20

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Solution

The fourth proportional to 11,857.60, 17,767.20 and 7,467.20 is: 11,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.60 : 17,767.20 = 7,467.20 : x
  2. Step 2: Convert to fraction form
    11,857.60/17,767.20 = 7,467.20/x
  3. Step 3: Cross multiply
    11,857.60x = 17,767.20 × 7,467.20
  4. Step 4: Simplify right side
    11,857.60x = 132,671,235.84
  5. Step 5: Solve for x
    x = 132,671,235.84/11,857.60
  6. Step 6: Final answer
    x = 11,188.71

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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.