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Finding the Fourth Proportional to 6,683.73, 10,007.10 and 5,035.38

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Solution

The fourth proportional to 6,683.73, 10,007.10 and 5,035.38 is: 7,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.73 : 10,007.10 = 5,035.38 : x
  2. Step 2: Convert to fraction form
    6,683.73/10,007.10 = 5,035.38/x
  3. Step 3: Cross multiply
    6,683.73x = 10,007.10 × 5,035.38
  4. Step 4: Simplify right side
    6,683.73x = 50,389,551.20
  5. Step 5: Solve for x
    x = 50,389,551.20/6,683.73
  6. Step 6: Final answer
    x = 7,539.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.