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Finding the Fourth Proportional to 4,609.44, 6,910.24 and 1,685.76

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Solution

The fourth proportional to 4,609.44, 6,910.24 and 1,685.76 is: 2,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.44 : 6,910.24 = 1,685.76 : x
  2. Step 2: Convert to fraction form
    4,609.44/6,910.24 = 1,685.76/x
  3. Step 3: Cross multiply
    4,609.44x = 6,910.24 × 1,685.76
  4. Step 4: Simplify right side
    4,609.44x = 11,649,006.18
  5. Step 5: Solve for x
    x = 11,649,006.18/4,609.44
  6. Step 6: Final answer
    x = 2,527.21

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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.