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Finding the Fourth Proportional to 6,582.34, 9,874.12 and 1,902.29

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Solution

The fourth proportional to 6,582.34, 9,874.12 and 1,902.29 is: 2,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.34 : 9,874.12 = 1,902.29 : x
  2. Step 2: Convert to fraction form
    6,582.34/9,874.12 = 1,902.29/x
  3. Step 3: Cross multiply
    6,582.34x = 9,874.12 × 1,902.29
  4. Step 4: Simplify right side
    6,582.34x = 18,783,430.22
  5. Step 5: Solve for x
    x = 18,783,430.22/6,582.34
  6. Step 6: Final answer
    x = 2,853.61

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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.