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Finding the Fourth Proportional to 10,414.44, 14,370.34 and 5,938.40

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Solution

The fourth proportional to 10,414.44, 14,370.34 and 5,938.40 is: 8,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.44 : 14,370.34 = 5,938.40 : x
  2. Step 2: Convert to fraction form
    10,414.44/14,370.34 = 5,938.40/x
  3. Step 3: Cross multiply
    10,414.44x = 14,370.34 × 5,938.40
  4. Step 4: Simplify right side
    10,414.44x = 85,336,827.06
  5. Step 5: Solve for x
    x = 85,336,827.06/10,414.44
  6. Step 6: Final answer
    x = 8,194.09

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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.