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Finding the Fourth Proportional to 6,339.40, 9,511.90 and 3,414.28

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Solution

The fourth proportional to 6,339.40, 9,511.90 and 3,414.28 is: 5,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.40 : 9,511.90 = 3,414.28 : x
  2. Step 2: Convert to fraction form
    6,339.40/9,511.90 = 3,414.28/x
  3. Step 3: Cross multiply
    6,339.40x = 9,511.90 × 3,414.28
  4. Step 4: Simplify right side
    6,339.40x = 32,476,289.93
  5. Step 5: Solve for x
    x = 32,476,289.93/6,339.40
  6. Step 6: Final answer
    x = 5,122.93

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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.