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Finding the Fourth Proportional to 4,609.75, 6,914.63 and 1,531.75

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Solution

The fourth proportional to 4,609.75, 6,914.63 and 1,531.75 is: 2,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.75 : 6,914.63 = 1,531.75 : x
  2. Step 2: Convert to fraction form
    4,609.75/6,914.63 = 1,531.75/x
  3. Step 3: Cross multiply
    4,609.75x = 6,914.63 × 1,531.75
  4. Step 4: Simplify right side
    4,609.75x = 10,591,484.50
  5. Step 5: Solve for x
    x = 10,591,484.50/4,609.75
  6. Step 6: Final answer
    x = 2,297.63

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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.