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Finding the Fourth Proportional to 6,826.04, 9,414.06 and 6,134.84

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Solution

The fourth proportional to 6,826.04, 9,414.06 and 6,134.84 is: 8,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.04 : 9,414.06 = 6,134.84 : x
  2. Step 2: Convert to fraction form
    6,826.04/9,414.06 = 6,134.84/x
  3. Step 3: Cross multiply
    6,826.04x = 9,414.06 × 6,134.84
  4. Step 4: Simplify right side
    6,826.04x = 57,753,751.85
  5. Step 5: Solve for x
    x = 57,753,751.85/6,826.04
  6. Step 6: Final answer
    x = 8,460.80

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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.