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Finding the Fourth Proportional to 7,028.25, 9,698.99 and 4,234.29

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Solution

The fourth proportional to 7,028.25, 9,698.99 and 4,234.29 is: 5,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.25 : 9,698.99 = 4,234.29 : x
  2. Step 2: Convert to fraction form
    7,028.25/9,698.99 = 4,234.29/x
  3. Step 3: Cross multiply
    7,028.25x = 9,698.99 × 4,234.29
  4. Step 4: Simplify right side
    7,028.25x = 41,068,315.20
  5. Step 5: Solve for x
    x = 41,068,315.20/7,028.25
  6. Step 6: Final answer
    x = 5,843.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.