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Finding the Fourth Proportional to 6,805.96, 10,200.74 and 3,517.28

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Solution

The fourth proportional to 6,805.96, 10,200.74 and 3,517.28 is: 5,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.96 : 10,200.74 = 3,517.28 : x
  2. Step 2: Convert to fraction form
    6,805.96/10,200.74 = 3,517.28/x
  3. Step 3: Cross multiply
    6,805.96x = 10,200.74 × 3,517.28
  4. Step 4: Simplify right side
    6,805.96x = 35,878,858.79
  5. Step 5: Solve for x
    x = 35,878,858.79/6,805.96
  6. Step 6: Final answer
    x = 5,271.68

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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.