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Finding the Fourth Proportional to 5,198.36, 7,832.62 and 4,294.18

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Solution

The fourth proportional to 5,198.36, 7,832.62 and 4,294.18 is: 6,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.36 : 7,832.62 = 4,294.18 : x
  2. Step 2: Convert to fraction form
    5,198.36/7,832.62 = 4,294.18/x
  3. Step 3: Cross multiply
    5,198.36x = 7,832.62 × 4,294.18
  4. Step 4: Simplify right side
    5,198.36x = 33,634,680.15
  5. Step 5: Solve for x
    x = 33,634,680.15/5,198.36
  6. Step 6: Final answer
    x = 6,470.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.