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Finding the Fourth Proportional to 9,539.54, 14,309.13 and 2,965.73

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Solution

The fourth proportional to 9,539.54, 14,309.13 and 2,965.73 is: 4,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.54 : 14,309.13 = 2,965.73 : x
  2. Step 2: Convert to fraction form
    9,539.54/14,309.13 = 2,965.73/x
  3. Step 3: Cross multiply
    9,539.54x = 14,309.13 × 2,965.73
  4. Step 4: Simplify right side
    9,539.54x = 42,436,944.57
  5. Step 5: Solve for x
    x = 42,436,944.57/9,539.54
  6. Step 6: Final answer
    x = 4,448.53

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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.