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Finding the Fourth Proportional to 6,299.74, 8,693.02 and 3,648

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Solution

The fourth proportional to 6,299.74, 8,693.02 and 3,648 is: 5,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.74 : 8,693.02 = 3,648 : x
  2. Step 2: Convert to fraction form
    6,299.74/8,693.02 = 3,648/x
  3. Step 3: Cross multiply
    6,299.74x = 8,693.02 × 3,648
  4. Step 4: Simplify right side
    6,299.74x = 31,712,136.96
  5. Step 5: Solve for x
    x = 31,712,136.96/6,299.74
  6. Step 6: Final answer
    x = 5,033.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.