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Finding the Fourth Proportional to 5,932.96, 8,179.84 and 4,866.80

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Solution

The fourth proportional to 5,932.96, 8,179.84 and 4,866.80 is: 6,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.96 : 8,179.84 = 4,866.80 : x
  2. Step 2: Convert to fraction form
    5,932.96/8,179.84 = 4,866.80/x
  3. Step 3: Cross multiply
    5,932.96x = 8,179.84 × 4,866.80
  4. Step 4: Simplify right side
    5,932.96x = 39,809,645.31
  5. Step 5: Solve for x
    x = 39,809,645.31/5,932.96
  6. Step 6: Final answer
    x = 6,709.91

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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.