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Finding the Fourth Proportional to 6,946.48, 10,419.04 and 3,825.46

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Solution

The fourth proportional to 6,946.48, 10,419.04 and 3,825.46 is: 5,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.48 : 10,419.04 = 3,825.46 : x
  2. Step 2: Convert to fraction form
    6,946.48/10,419.04 = 3,825.46/x
  3. Step 3: Cross multiply
    6,946.48x = 10,419.04 × 3,825.46
  4. Step 4: Simplify right side
    6,946.48x = 39,857,620.76
  5. Step 5: Solve for x
    x = 39,857,620.76/6,946.48
  6. Step 6: Final answer
    x = 5,737.82

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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.