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Finding the Fourth Proportional to 10,823, 16,234.52 and 2,615

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Solution

The fourth proportional to 10,823, 16,234.52 and 2,615 is: 3,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823 : 16,234.52 = 2,615 : x
  2. Step 2: Convert to fraction form
    10,823/16,234.52 = 2,615/x
  3. Step 3: Cross multiply
    10,823x = 16,234.52 × 2,615
  4. Step 4: Simplify right side
    10,823x = 42,453,269.80
  5. Step 5: Solve for x
    x = 42,453,269.80/10,823
  6. Step 6: Final answer
    x = 3,922.50

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1.5x scale

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.