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Finding the Fourth Proportional to 11,708.46, 16,171 and 7,873.44

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Solution

The fourth proportional to 11,708.46, 16,171 and 7,873.44 is: 10,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.46 : 16,171 = 7,873.44 : x
  2. Step 2: Convert to fraction form
    11,708.46/16,171 = 7,873.44/x
  3. Step 3: Cross multiply
    11,708.46x = 16,171 × 7,873.44
  4. Step 4: Simplify right side
    11,708.46x = 127,321,398.24
  5. Step 5: Solve for x
    x = 127,321,398.24/11,708.46
  6. Step 6: Final answer
    x = 10,874.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.