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Finding the Fourth Proportional to 6,913.73, 10,362.38 and 3,985.98

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Solution

The fourth proportional to 6,913.73, 10,362.38 and 3,985.98 is: 5,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.73 : 10,362.38 = 3,985.98 : x
  2. Step 2: Convert to fraction form
    6,913.73/10,362.38 = 3,985.98/x
  3. Step 3: Cross multiply
    6,913.73x = 10,362.38 × 3,985.98
  4. Step 4: Simplify right side
    6,913.73x = 41,304,219.50
  5. Step 5: Solve for x
    x = 41,304,219.50/6,913.73
  6. Step 6: Final answer
    x = 5,974.24

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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.