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Finding the Fourth Proportional to 6,828.44, 10,242.50 and 1,898.12

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Solution

The fourth proportional to 6,828.44, 10,242.50 and 1,898.12 is: 2,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.44 : 10,242.50 = 1,898.12 : x
  2. Step 2: Convert to fraction form
    6,828.44/10,242.50 = 1,898.12/x
  3. Step 3: Cross multiply
    6,828.44x = 10,242.50 × 1,898.12
  4. Step 4: Simplify right side
    6,828.44x = 19,441,494.10
  5. Step 5: Solve for x
    x = 19,441,494.10/6,828.44
  6. Step 6: Final answer
    x = 2,847.14

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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.