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Finding the Fourth Proportional to 6,390.44, 9,586.62 and 2,007.48

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Solution

The fourth proportional to 6,390.44, 9,586.62 and 2,007.48 is: 3,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.44 : 9,586.62 = 2,007.48 : x
  2. Step 2: Convert to fraction form
    6,390.44/9,586.62 = 2,007.48/x
  3. Step 3: Cross multiply
    6,390.44x = 9,586.62 × 2,007.48
  4. Step 4: Simplify right side
    6,390.44x = 19,244,947.92
  5. Step 5: Solve for x
    x = 19,244,947.92/6,390.44
  6. Step 6: Final answer
    x = 3,011.52

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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.