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Finding the Fourth Proportional to 6,114.65, 9,179.46 and 4,036.41

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Solution

The fourth proportional to 6,114.65, 9,179.46 and 4,036.41 is: 6,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.65 : 9,179.46 = 4,036.41 : x
  2. Step 2: Convert to fraction form
    6,114.65/9,179.46 = 4,036.41/x
  3. Step 3: Cross multiply
    6,114.65x = 9,179.46 × 4,036.41
  4. Step 4: Simplify right side
    6,114.65x = 37,052,064.14
  5. Step 5: Solve for x
    x = 37,052,064.14/6,114.65
  6. Step 6: Final answer
    x = 6,059.56

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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.