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Finding the Fourth Proportional to 6,829.04, 9,422.86 and 3,845

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Solution

The fourth proportional to 6,829.04, 9,422.86 and 3,845 is: 5,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.04 : 9,422.86 = 3,845 : x
  2. Step 2: Convert to fraction form
    6,829.04/9,422.86 = 3,845/x
  3. Step 3: Cross multiply
    6,829.04x = 9,422.86 × 3,845
  4. Step 4: Simplify right side
    6,829.04x = 36,230,896.70
  5. Step 5: Solve for x
    x = 36,230,896.70/6,829.04
  6. Step 6: Final answer
    x = 5,305.42

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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.