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Finding the Fourth Proportional to 7,803.66, 11,704.62 and 1,960.29

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Solution

The fourth proportional to 7,803.66, 11,704.62 and 1,960.29 is: 2,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.66 : 11,704.62 = 1,960.29 : x
  2. Step 2: Convert to fraction form
    7,803.66/11,704.62 = 1,960.29/x
  3. Step 3: Cross multiply
    7,803.66x = 11,704.62 × 1,960.29
  4. Step 4: Simplify right side
    7,803.66x = 22,944,449.54
  5. Step 5: Solve for x
    x = 22,944,449.54/7,803.66
  6. Step 6: Final answer
    x = 2,940.22

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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.