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Finding the Fourth Proportional to 6,852.96, 9,456.85 and 3,828.24

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Solution

The fourth proportional to 6,852.96, 9,456.85 and 3,828.24 is: 5,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.96 : 9,456.85 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    6,852.96/9,456.85 = 3,828.24/x
  3. Step 3: Cross multiply
    6,852.96x = 9,456.85 × 3,828.24
  4. Step 4: Simplify right side
    6,852.96x = 36,203,091.44
  5. Step 5: Solve for x
    x = 36,203,091.44/6,852.96
  6. Step 6: Final answer
    x = 5,282.84

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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.