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Finding the Fourth Proportional to 6,782.36, 9,359.12 and 3,797.50

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Solution

The fourth proportional to 6,782.36, 9,359.12 and 3,797.50 is: 5,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.36 : 9,359.12 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    6,782.36/9,359.12 = 3,797.50/x
  3. Step 3: Cross multiply
    6,782.36x = 9,359.12 × 3,797.50
  4. Step 4: Simplify right side
    6,782.36x = 35,541,258.20
  5. Step 5: Solve for x
    x = 35,541,258.20/6,782.36
  6. Step 6: Final answer
    x = 5,240.25

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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.