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Finding the Fourth Proportional to 6,136.12, 8,470.70 and 3,617.38

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Solution

The fourth proportional to 6,136.12, 8,470.70 and 3,617.38 is: 4,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.12 : 8,470.70 = 3,617.38 : x
  2. Step 2: Convert to fraction form
    6,136.12/8,470.70 = 3,617.38/x
  3. Step 3: Cross multiply
    6,136.12x = 8,470.70 × 3,617.38
  4. Step 4: Simplify right side
    6,136.12x = 30,641,740.77
  5. Step 5: Solve for x
    x = 30,641,740.77/6,136.12
  6. Step 6: Final answer
    x = 4,993.67

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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.