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Finding the Fourth Proportional to 6,583.14, 9,874.71 and 1,903.41

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Solution

The fourth proportional to 6,583.14, 9,874.71 and 1,903.41 is: 2,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.14 : 9,874.71 = 1,903.41 : x
  2. Step 2: Convert to fraction form
    6,583.14/9,874.71 = 1,903.41/x
  3. Step 3: Cross multiply
    6,583.14x = 9,874.71 × 1,903.41
  4. Step 4: Simplify right side
    6,583.14x = 18,795,621.76
  5. Step 5: Solve for x
    x = 18,795,621.76/6,583.14
  6. Step 6: Final answer
    x = 2,855.12

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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.