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Finding the Fourth Proportional to 6,849.34, 10,270.04 and 2,684.47

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Solution

The fourth proportional to 6,849.34, 10,270.04 and 2,684.47 is: 4,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.34 : 10,270.04 = 2,684.47 : x
  2. Step 2: Convert to fraction form
    6,849.34/10,270.04 = 2,684.47/x
  3. Step 3: Cross multiply
    6,849.34x = 10,270.04 × 2,684.47
  4. Step 4: Simplify right side
    6,849.34x = 27,569,575.18
  5. Step 5: Solve for x
    x = 27,569,575.18/6,849.34
  6. Step 6: Final answer
    x = 4,025.14

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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.