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Finding the Fourth Proportional to 11,871.37, 17,770.60 and 7,468.21

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Solution

The fourth proportional to 11,871.37, 17,770.60 and 7,468.21 is: 11,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.37 : 17,770.60 = 7,468.21 : x
  2. Step 2: Convert to fraction form
    11,871.37/17,770.60 = 7,468.21/x
  3. Step 3: Cross multiply
    11,871.37x = 17,770.60 × 7,468.21
  4. Step 4: Simplify right side
    11,871.37x = 132,714,572.63
  5. Step 5: Solve for x
    x = 132,714,572.63/11,871.37
  6. Step 6: Final answer
    x = 11,179.38

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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.