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Finding the Fourth Proportional to 11,871.63, 16,388.10 and 7,093.26

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Solution

The fourth proportional to 11,871.63, 16,388.10 and 7,093.26 is: 9,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.63 : 16,388.10 = 7,093.26 : x
  2. Step 2: Convert to fraction form
    11,871.63/16,388.10 = 7,093.26/x
  3. Step 3: Cross multiply
    11,871.63x = 16,388.10 × 7,093.26
  4. Step 4: Simplify right side
    11,871.63x = 116,245,054.21
  5. Step 5: Solve for x
    x = 116,245,054.21/11,871.63
  6. Step 6: Final answer
    x = 9,791.84

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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.