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Finding the Fourth Proportional to 6,388.77, 9,583.46 and 2,006.57

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Solution

The fourth proportional to 6,388.77, 9,583.46 and 2,006.57 is: 3,009.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.77 : 9,583.46 = 2,006.57 : x
  2. Step 2: Convert to fraction form
    6,388.77/9,583.46 = 2,006.57/x
  3. Step 3: Cross multiply
    6,388.77x = 9,583.46 × 2,006.57
  4. Step 4: Simplify right side
    6,388.77x = 19,229,825.38
  5. Step 5: Solve for x
    x = 19,229,825.38/6,388.77
  6. Step 6: Final answer
    x = 3,009.94

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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.