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Finding the Fourth Proportional to 8,380.87, 12,569.95 and 2,834.10

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Solution

The fourth proportional to 8,380.87, 12,569.95 and 2,834.10 is: 4,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.87 : 12,569.95 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    8,380.87/12,569.95 = 2,834.10/x
  3. Step 3: Cross multiply
    8,380.87x = 12,569.95 × 2,834.10
  4. Step 4: Simplify right side
    8,380.87x = 35,624,495.30
  5. Step 5: Solve for x
    x = 35,624,495.30/8,380.87
  6. Step 6: Final answer
    x = 4,250.69

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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.