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Finding the Fourth Proportional to 9,694.54, 13,374.48 and 6,156.46

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Solution

The fourth proportional to 9,694.54, 13,374.48 and 6,156.46 is: 8,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.54 : 13,374.48 = 6,156.46 : x
  2. Step 2: Convert to fraction form
    9,694.54/13,374.48 = 6,156.46/x
  3. Step 3: Cross multiply
    9,694.54x = 13,374.48 × 6,156.46
  4. Step 4: Simplify right side
    9,694.54x = 82,339,451.14
  5. Step 5: Solve for x
    x = 82,339,451.14/9,694.54
  6. Step 6: Final answer
    x = 8,493.38

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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.