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Finding the Fourth Proportional to 6,300, 9,447.27 and 1,916.44

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Solution

The fourth proportional to 6,300, 9,447.27 and 1,916.44 is: 2,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,447.27 = 1,916.44 : x
  2. Step 2: Convert to fraction form
    6,300/9,447.27 = 1,916.44/x
  3. Step 3: Cross multiply
    6,300x = 9,447.27 × 1,916.44
  4. Step 4: Simplify right side
    6,300x = 18,105,126.12
  5. Step 5: Solve for x
    x = 18,105,126.12/6,300
  6. Step 6: Final answer
    x = 2,873.83

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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.