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Finding the Fourth Proportional to 6,093.83, 9,144.38 and 5,598.11

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Solution

The fourth proportional to 6,093.83, 9,144.38 and 5,598.11 is: 8,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.83 : 9,144.38 = 5,598.11 : x
  2. Step 2: Convert to fraction form
    6,093.83/9,144.38 = 5,598.11/x
  3. Step 3: Cross multiply
    6,093.83x = 9,144.38 × 5,598.11
  4. Step 4: Simplify right side
    6,093.83x = 51,191,245.12
  5. Step 5: Solve for x
    x = 51,191,245.12/6,093.83
  6. Step 6: Final answer
    x = 8,400.50

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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.