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Finding the Fourth Proportional to 11,903, 16,419.30 and 7,424.60

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Solution

The fourth proportional to 11,903, 16,419.30 and 7,424.60 is: 10,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903 : 16,419.30 = 7,424.60 : x
  2. Step 2: Convert to fraction form
    11,903/16,419.30 = 7,424.60/x
  3. Step 3: Cross multiply
    11,903x = 16,419.30 × 7,424.60
  4. Step 4: Simplify right side
    11,903x = 121,906,734.78
  5. Step 5: Solve for x
    x = 121,906,734.78/11,903
  6. Step 6: Final answer
    x = 10,241.68

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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.