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Finding the Fourth Proportional to 6,834.63, 10,251.95 and 3,910.90

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Solution

The fourth proportional to 6,834.63, 10,251.95 and 3,910.90 is: 5,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.63 : 10,251.95 = 3,910.90 : x
  2. Step 2: Convert to fraction form
    6,834.63/10,251.95 = 3,910.90/x
  3. Step 3: Cross multiply
    6,834.63x = 10,251.95 × 3,910.90
  4. Step 4: Simplify right side
    6,834.63x = 40,094,351.26
  5. Step 5: Solve for x
    x = 40,094,351.26/6,834.63
  6. Step 6: Final answer
    x = 5,866.35

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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.