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Finding the Fourth Proportional to 6,583.50, 9,874.04 and 1,902.35

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Solution

The fourth proportional to 6,583.50, 9,874.04 and 1,902.35 is: 2,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.50 : 9,874.04 = 1,902.35 : x
  2. Step 2: Convert to fraction form
    6,583.50/9,874.04 = 1,902.35/x
  3. Step 3: Cross multiply
    6,583.50x = 9,874.04 × 1,902.35
  4. Step 4: Simplify right side
    6,583.50x = 18,783,821.11
  5. Step 5: Solve for x
    x = 18,783,821.11/6,583.50
  6. Step 6: Final answer
    x = 2,853.17

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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.