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Finding the Fourth Proportional to 6,093.80, 9,137.98 and 1,933.04

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Solution

The fourth proportional to 6,093.80, 9,137.98 and 1,933.04 is: 2,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.80 : 9,137.98 = 1,933.04 : x
  2. Step 2: Convert to fraction form
    6,093.80/9,137.98 = 1,933.04/x
  3. Step 3: Cross multiply
    6,093.80x = 9,137.98 × 1,933.04
  4. Step 4: Simplify right side
    6,093.80x = 17,664,080.86
  5. Step 5: Solve for x
    x = 17,664,080.86/6,093.80
  6. Step 6: Final answer
    x = 2,898.70

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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.