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Finding the Fourth Proportional to 7,767.54, 11,651.22 and 2,837.13

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Solution

The fourth proportional to 7,767.54, 11,651.22 and 2,837.13 is: 4,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.54 : 11,651.22 = 2,837.13 : x
  2. Step 2: Convert to fraction form
    7,767.54/11,651.22 = 2,837.13/x
  3. Step 3: Cross multiply
    7,767.54x = 11,651.22 × 2,837.13
  4. Step 4: Simplify right side
    7,767.54x = 33,056,025.80
  5. Step 5: Solve for x
    x = 33,056,025.80/7,767.54
  6. Step 6: Final answer
    x = 4,255.66

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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.