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Finding the Fourth Proportional to 6,491.61, 8,958.06 and 3,659.45

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Solution

The fourth proportional to 6,491.61, 8,958.06 and 3,659.45 is: 5,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.61 : 8,958.06 = 3,659.45 : x
  2. Step 2: Convert to fraction form
    6,491.61/8,958.06 = 3,659.45/x
  3. Step 3: Cross multiply
    6,491.61x = 8,958.06 × 3,659.45
  4. Step 4: Simplify right side
    6,491.61x = 32,781,527.88
  5. Step 5: Solve for x
    x = 32,781,527.88/6,491.61
  6. Step 6: Final answer
    x = 5,049.83

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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.