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Finding the Fourth Proportional to 5,842.94, 8,765.69 and 1,682.98

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Solution

The fourth proportional to 5,842.94, 8,765.69 and 1,682.98 is: 2,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.94 : 8,765.69 = 1,682.98 : x
  2. Step 2: Convert to fraction form
    5,842.94/8,765.69 = 1,682.98/x
  3. Step 3: Cross multiply
    5,842.94x = 8,765.69 × 1,682.98
  4. Step 4: Simplify right side
    5,842.94x = 14,752,450.63
  5. Step 5: Solve for x
    x = 14,752,450.63/5,842.94
  6. Step 6: Final answer
    x = 2,524.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.