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Finding the Fourth Proportional to 7,028.80, 9,696.30 and 4,194.30

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Solution

The fourth proportional to 7,028.80, 9,696.30 and 4,194.30 is: 5,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.80 : 9,696.30 = 4,194.30 : x
  2. Step 2: Convert to fraction form
    7,028.80/9,696.30 = 4,194.30/x
  3. Step 3: Cross multiply
    7,028.80x = 9,696.30 × 4,194.30
  4. Step 4: Simplify right side
    7,028.80x = 40,669,191.09
  5. Step 5: Solve for x
    x = 40,669,191.09/7,028.80
  6. Step 6: Final answer
    x = 5,786.08

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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.