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Finding the Fourth Proportional to 6,969.36, 9,618.36 and 3,826.20

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Solution

The fourth proportional to 6,969.36, 9,618.36 and 3,826.20 is: 5,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.36 : 9,618.36 = 3,826.20 : x
  2. Step 2: Convert to fraction form
    6,969.36/9,618.36 = 3,826.20/x
  3. Step 3: Cross multiply
    6,969.36x = 9,618.36 × 3,826.20
  4. Step 4: Simplify right side
    6,969.36x = 36,801,769.03
  5. Step 5: Solve for x
    x = 36,801,769.03/6,969.36
  6. Step 6: Final answer
    x = 5,280.51

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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.