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Finding the Fourth Proportional to 6,805.97, 10,204.16 and 3,103.10

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Solution

The fourth proportional to 6,805.97, 10,204.16 and 3,103.10 is: 4,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.97 : 10,204.16 = 3,103.10 : x
  2. Step 2: Convert to fraction form
    6,805.97/10,204.16 = 3,103.10/x
  3. Step 3: Cross multiply
    6,805.97x = 10,204.16 × 3,103.10
  4. Step 4: Simplify right side
    6,805.97x = 31,664,462.36
  5. Step 5: Solve for x
    x = 31,664,462.36/6,805.97
  6. Step 6: Final answer
    x = 4,652.46

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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.