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Finding the Fourth Proportional to 11,910.16, 17,857.98 and 6,292.30

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Solution

The fourth proportional to 11,910.16, 17,857.98 and 6,292.30 is: 9,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.16 : 17,857.98 = 6,292.30 : x
  2. Step 2: Convert to fraction form
    11,910.16/17,857.98 = 6,292.30/x
  3. Step 3: Cross multiply
    11,910.16x = 17,857.98 × 6,292.30
  4. Step 4: Simplify right side
    11,910.16x = 112,367,767.55
  5. Step 5: Solve for x
    x = 112,367,767.55/11,910.16
  6. Step 6: Final answer
    x = 9,434.61

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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.