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Finding the Fourth Proportional to 26,589.68, 39,870.41 and 7,867.14

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Solution

The fourth proportional to 26,589.68, 39,870.41 and 7,867.14 is: 11,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589.68 : 39,870.41 = 7,867.14 : x
  2. Step 2: Convert to fraction form
    26,589.68/39,870.41 = 7,867.14/x
  3. Step 3: Cross multiply
    26,589.68x = 39,870.41 × 7,867.14
  4. Step 4: Simplify right side
    26,589.68x = 313,665,908.48
  5. Step 5: Solve for x
    x = 313,665,908.48/26,589.68
  6. Step 6: Final answer
    x = 11,796.53

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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.