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Finding the Fourth Proportional to 6,803.97, 10,201.51 and 2,857.75

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Solution

The fourth proportional to 6,803.97, 10,201.51 and 2,857.75 is: 4,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.97 : 10,201.51 = 2,857.75 : x
  2. Step 2: Convert to fraction form
    6,803.97/10,201.51 = 2,857.75/x
  3. Step 3: Cross multiply
    6,803.97x = 10,201.51 × 2,857.75
  4. Step 4: Simplify right side
    6,803.97x = 29,153,299.91
  5. Step 5: Solve for x
    x = 29,153,299.91/6,803.97
  6. Step 6: Final answer
    x = 4,284.75

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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.