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Finding the Fourth Proportional to 6,916.50, 10,374.84 and 2,299.50

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Solution

The fourth proportional to 6,916.50, 10,374.84 and 2,299.50 is: 3,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.50 : 10,374.84 = 2,299.50 : x
  2. Step 2: Convert to fraction form
    6,916.50/10,374.84 = 2,299.50/x
  3. Step 3: Cross multiply
    6,916.50x = 10,374.84 × 2,299.50
  4. Step 4: Simplify right side
    6,916.50x = 23,856,944.58
  5. Step 5: Solve for x
    x = 23,856,944.58/6,916.50
  6. Step 6: Final answer
    x = 3,449.28

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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.