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Finding the Fourth Proportional to 6,996.01, 10,493.84 and 2,834.90

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Solution

The fourth proportional to 6,996.01, 10,493.84 and 2,834.90 is: 4,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.01 : 10,493.84 = 2,834.90 : x
  2. Step 2: Convert to fraction form
    6,996.01/10,493.84 = 2,834.90/x
  3. Step 3: Cross multiply
    6,996.01x = 10,493.84 × 2,834.90
  4. Step 4: Simplify right side
    6,996.01x = 29,748,977.00
  5. Step 5: Solve for x
    x = 29,748,977.00/6,996.01
  6. Step 6: Final answer
    x = 4,252.28

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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.