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Finding the Fourth Proportional to 4,336, 6,504.02 and 1,414.32

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Solution

The fourth proportional to 4,336, 6,504.02 and 1,414.32 is: 2,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336 : 6,504.02 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    4,336/6,504.02 = 1,414.32/x
  3. Step 3: Cross multiply
    4,336x = 6,504.02 × 1,414.32
  4. Step 4: Simplify right side
    4,336x = 9,198,765.57
  5. Step 5: Solve for x
    x = 9,198,765.57/4,336
  6. Step 6: Final answer
    x = 2,121.49

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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.