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Finding the Fourth Proportional to 6,246, 9,370.54 and 1,863.44

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Solution

The fourth proportional to 6,246, 9,370.54 and 1,863.44 is: 2,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246 : 9,370.54 = 1,863.44 : x
  2. Step 2: Convert to fraction form
    6,246/9,370.54 = 1,863.44/x
  3. Step 3: Cross multiply
    6,246x = 9,370.54 × 1,863.44
  4. Step 4: Simplify right side
    6,246x = 17,461,439.06
  5. Step 5: Solve for x
    x = 17,461,439.06/6,246
  6. Step 6: Final answer
    x = 2,795.62

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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.