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Finding the Fourth Proportional to 6,188, 9,283.46 and 2,084

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Solution

The fourth proportional to 6,188, 9,283.46 and 2,084 is: 3,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188 : 9,283.46 = 2,084 : x
  2. Step 2: Convert to fraction form
    6,188/9,283.46 = 2,084/x
  3. Step 3: Cross multiply
    6,188x = 9,283.46 × 2,084
  4. Step 4: Simplify right side
    6,188x = 19,346,730.64
  5. Step 5: Solve for x
    x = 19,346,730.64/6,188
  6. Step 6: Final answer
    x = 3,126.49

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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.