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Finding the Fourth Proportional to 6,615, 9,136.38 and 4,403.16

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Solution

The fourth proportional to 6,615, 9,136.38 and 4,403.16 is: 6,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615 : 9,136.38 = 4,403.16 : x
  2. Step 2: Convert to fraction form
    6,615/9,136.38 = 4,403.16/x
  3. Step 3: Cross multiply
    6,615x = 9,136.38 × 4,403.16
  4. Step 4: Simplify right side
    6,615x = 40,228,942.96
  5. Step 5: Solve for x
    x = 40,228,942.96/6,615
  6. Step 6: Final answer
    x = 6,081.47

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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.