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Finding the Fourth Proportional to 4,644.79, 6,965.77 and 1,682.88

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Solution

The fourth proportional to 4,644.79, 6,965.77 and 1,682.88 is: 2,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.79 : 6,965.77 = 1,682.88 : x
  2. Step 2: Convert to fraction form
    4,644.79/6,965.77 = 1,682.88/x
  3. Step 3: Cross multiply
    4,644.79x = 6,965.77 × 1,682.88
  4. Step 4: Simplify right side
    4,644.79x = 11,722,555.02
  5. Step 5: Solve for x
    x = 11,722,555.02/4,644.79
  6. Step 6: Final answer
    x = 2,523.81

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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.