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Finding the Fourth Proportional to 6,299.46, 9,446.47 and 1,915.91

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Solution

The fourth proportional to 6,299.46, 9,446.47 and 1,915.91 is: 2,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.46 : 9,446.47 = 1,915.91 : x
  2. Step 2: Convert to fraction form
    6,299.46/9,446.47 = 1,915.91/x
  3. Step 3: Cross multiply
    6,299.46x = 9,446.47 × 1,915.91
  4. Step 4: Simplify right side
    6,299.46x = 18,098,566.15
  5. Step 5: Solve for x
    x = 18,098,566.15/6,299.46
  6. Step 6: Final answer
    x = 2,873.03

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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.