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Finding the Fourth Proportional to 6,295.12, 9,442.68 and 1,678

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Solution

The fourth proportional to 6,295.12, 9,442.68 and 1,678 is: 2,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.12 : 9,442.68 = 1,678 : x
  2. Step 2: Convert to fraction form
    6,295.12/9,442.68 = 1,678/x
  3. Step 3: Cross multiply
    6,295.12x = 9,442.68 × 1,678
  4. Step 4: Simplify right side
    6,295.12x = 15,844,817.04
  5. Step 5: Solve for x
    x = 15,844,817.04/6,295.12
  6. Step 6: Final answer
    x = 2,517

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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.