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Finding the Fourth Proportional to 7,846, 10,826.94 and 4,308.48

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Solution

The fourth proportional to 7,846, 10,826.94 and 4,308.48 is: 5,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 10,826.94 = 4,308.48 : x
  2. Step 2: Convert to fraction form
    7,846/10,826.94 = 4,308.48/x
  3. Step 3: Cross multiply
    7,846x = 10,826.94 × 4,308.48
  4. Step 4: Simplify right side
    7,846x = 46,647,654.45
  5. Step 5: Solve for x
    x = 46,647,654.45/7,846
  6. Step 6: Final answer
    x = 5,945.41

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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.