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Finding the Fourth Proportional to 6,774.94, 10,162.50 and 2,094.90

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Solution

The fourth proportional to 6,774.94, 10,162.50 and 2,094.90 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.94 : 10,162.50 = 2,094.90 : x
  2. Step 2: Convert to fraction form
    6,774.94/10,162.50 = 2,094.90/x
  3. Step 3: Cross multiply
    6,774.94x = 10,162.50 × 2,094.90
  4. Step 4: Simplify right side
    6,774.94x = 21,289,421.25
  5. Step 5: Solve for x
    x = 21,289,421.25/6,774.94
  6. Step 6: Final answer
    x = 3,142.38

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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.