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Finding the Fourth Proportional to 6,826.06, 9,420.83 and 3,842.46

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Solution

The fourth proportional to 6,826.06, 9,420.83 and 3,842.46 is: 5,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.06 : 9,420.83 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    6,826.06/9,420.83 = 3,842.46/x
  3. Step 3: Cross multiply
    6,826.06x = 9,420.83 × 3,842.46
  4. Step 4: Simplify right side
    6,826.06x = 36,199,194.94
  5. Step 5: Solve for x
    x = 36,199,194.94/6,826.06
  6. Step 6: Final answer
    x = 5,303.09

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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.