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Finding the Fourth Proportional to 6,998.44, 10,504.16 and 3,538.12

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Solution

The fourth proportional to 6,998.44, 10,504.16 and 3,538.12 is: 5,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.44 : 10,504.16 = 3,538.12 : x
  2. Step 2: Convert to fraction form
    6,998.44/10,504.16 = 3,538.12/x
  3. Step 3: Cross multiply
    6,998.44x = 10,504.16 × 3,538.12
  4. Step 4: Simplify right side
    6,998.44x = 37,164,978.58
  5. Step 5: Solve for x
    x = 37,164,978.58/6,998.44
  6. Step 6: Final answer
    x = 5,310.47

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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.