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Finding the Fourth Proportional to 6,142.40, 9,194.40 and 4,414.40

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Solution

The fourth proportional to 6,142.40, 9,194.40 and 4,414.40 is: 6,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.40 : 9,194.40 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    6,142.40/9,194.40 = 4,414.40/x
  3. Step 3: Cross multiply
    6,142.40x = 9,194.40 × 4,414.40
  4. Step 4: Simplify right side
    6,142.40x = 40,587,759.36
  5. Step 5: Solve for x
    x = 40,587,759.36/6,142.40
  6. Step 6: Final answer
    x = 6,607.80

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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.