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Finding the Fourth Proportional to 12,277.56, 16,945.22 and 7,241.48

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Solution

The fourth proportional to 12,277.56, 16,945.22 and 7,241.48 is: 9,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.56 : 16,945.22 = 7,241.48 : x
  2. Step 2: Convert to fraction form
    12,277.56/16,945.22 = 7,241.48/x
  3. Step 3: Cross multiply
    12,277.56x = 16,945.22 × 7,241.48
  4. Step 4: Simplify right side
    12,277.56x = 122,708,471.73
  5. Step 5: Solve for x
    x = 122,708,471.73/12,277.56
  6. Step 6: Final answer
    x = 9,994.53

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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.