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Finding the Fourth Proportional to 6,676.71, 9,205.49 and 4,282.46

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Solution

The fourth proportional to 6,676.71, 9,205.49 and 4,282.46 is: 5,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.71 : 9,205.49 = 4,282.46 : x
  2. Step 2: Convert to fraction form
    6,676.71/9,205.49 = 4,282.46/x
  3. Step 3: Cross multiply
    6,676.71x = 9,205.49 × 4,282.46
  4. Step 4: Simplify right side
    6,676.71x = 39,422,142.71
  5. Step 5: Solve for x
    x = 39,422,142.71/6,676.71
  6. Step 6: Final answer
    x = 5,904.43

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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.