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Finding the Fourth Proportional to 4,609.78, 6,329.37 and 4,489.50

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Solution

The fourth proportional to 4,609.78, 6,329.37 and 4,489.50 is: 6,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.78 : 6,329.37 = 4,489.50 : x
  2. Step 2: Convert to fraction form
    4,609.78/6,329.37 = 4,489.50/x
  3. Step 3: Cross multiply
    4,609.78x = 6,329.37 × 4,489.50
  4. Step 4: Simplify right side
    4,609.78x = 28,415,706.62
  5. Step 5: Solve for x
    x = 28,415,706.62/4,609.78
  6. Step 6: Final answer
    x = 6,164.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.