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Finding the Fourth Proportional to 6,728.83, 10,093.44 and 1,798.48

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Solution

The fourth proportional to 6,728.83, 10,093.44 and 1,798.48 is: 2,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.83 : 10,093.44 = 1,798.48 : x
  2. Step 2: Convert to fraction form
    6,728.83/10,093.44 = 1,798.48/x
  3. Step 3: Cross multiply
    6,728.83x = 10,093.44 × 1,798.48
  4. Step 4: Simplify right side
    6,728.83x = 18,152,849.97
  5. Step 5: Solve for x
    x = 18,152,849.97/6,728.83
  6. Step 6: Final answer
    x = 2,697.77

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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.