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Finding the Fourth Proportional to 6,826.94, 9,421.06 and 3,842.78

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Solution

The fourth proportional to 6,826.94, 9,421.06 and 3,842.78 is: 5,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.94 : 9,421.06 = 3,842.78 : x
  2. Step 2: Convert to fraction form
    6,826.94/9,421.06 = 3,842.78/x
  3. Step 3: Cross multiply
    6,826.94x = 9,421.06 × 3,842.78
  4. Step 4: Simplify right side
    6,826.94x = 36,203,060.95
  5. Step 5: Solve for x
    x = 36,203,060.95/6,826.94
  6. Step 6: Final answer
    x = 5,302.97

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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.