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Finding the Fourth Proportional to 5,613.49, 8,414.36 and 1,914.42

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Solution

The fourth proportional to 5,613.49, 8,414.36 and 1,914.42 is: 2,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.49 : 8,414.36 = 1,914.42 : x
  2. Step 2: Convert to fraction form
    5,613.49/8,414.36 = 1,914.42/x
  3. Step 3: Cross multiply
    5,613.49x = 8,414.36 × 1,914.42
  4. Step 4: Simplify right side
    5,613.49x = 16,108,619.07
  5. Step 5: Solve for x
    x = 16,108,619.07/5,613.49
  6. Step 6: Final answer
    x = 2,869.63

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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.