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Finding the Fourth Proportional to 6,034.43, 9,052.49 and 1,874.74

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Solution

The fourth proportional to 6,034.43, 9,052.49 and 1,874.74 is: 2,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.43 : 9,052.49 = 1,874.74 : x
  2. Step 2: Convert to fraction form
    6,034.43/9,052.49 = 1,874.74/x
  3. Step 3: Cross multiply
    6,034.43x = 9,052.49 × 1,874.74
  4. Step 4: Simplify right side
    6,034.43x = 16,971,065.10
  5. Step 5: Solve for x
    x = 16,971,065.10/6,034.43
  6. Step 6: Final answer
    x = 2,812.37

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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.