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Finding the Fourth Proportional to 6,093.58, 9,140.69 and 1,933.91

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Solution

The fourth proportional to 6,093.58, 9,140.69 and 1,933.91 is: 2,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.58 : 9,140.69 = 1,933.91 : x
  2. Step 2: Convert to fraction form
    6,093.58/9,140.69 = 1,933.91/x
  3. Step 3: Cross multiply
    6,093.58x = 9,140.69 × 1,933.91
  4. Step 4: Simplify right side
    6,093.58x = 17,677,271.80
  5. Step 5: Solve for x
    x = 17,677,271.80/6,093.58
  6. Step 6: Final answer
    x = 2,900.97

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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.