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Finding the Fourth Proportional to 6,730.34, 10,097.19 and 2,347.83

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Solution

The fourth proportional to 6,730.34, 10,097.19 and 2,347.83 is: 3,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.34 : 10,097.19 = 2,347.83 : x
  2. Step 2: Convert to fraction form
    6,730.34/10,097.19 = 2,347.83/x
  3. Step 3: Cross multiply
    6,730.34x = 10,097.19 × 2,347.83
  4. Step 4: Simplify right side
    6,730.34x = 23,706,485.60
  5. Step 5: Solve for x
    x = 23,706,485.60/6,730.34
  6. Step 6: Final answer
    x = 3,522.33

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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.