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Finding the Fourth Proportional to 6,182.42, 9,274.23 and 1,798.70

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Solution

The fourth proportional to 6,182.42, 9,274.23 and 1,798.70 is: 2,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.42 : 9,274.23 = 1,798.70 : x
  2. Step 2: Convert to fraction form
    6,182.42/9,274.23 = 1,798.70/x
  3. Step 3: Cross multiply
    6,182.42x = 9,274.23 × 1,798.70
  4. Step 4: Simplify right side
    6,182.42x = 16,681,511.13
  5. Step 5: Solve for x
    x = 16,681,511.13/6,182.42
  6. Step 6: Final answer
    x = 2,698.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.