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Finding the Fourth Proportional to 6,244.74, 9,366.50 and 1,861.82

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Solution

The fourth proportional to 6,244.74, 9,366.50 and 1,861.82 is: 2,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.74 : 9,366.50 = 1,861.82 : x
  2. Step 2: Convert to fraction form
    6,244.74/9,366.50 = 1,861.82/x
  3. Step 3: Cross multiply
    6,244.74x = 9,366.50 × 1,861.82
  4. Step 4: Simplify right side
    6,244.74x = 17,438,737.03
  5. Step 5: Solve for x
    x = 17,438,737.03/6,244.74
  6. Step 6: Final answer
    x = 2,792.55

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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.