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Finding the Fourth Proportional to 4,336, 6,505.20 and 1,414.24

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Solution

The fourth proportional to 4,336, 6,505.20 and 1,414.24 is: 2,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336 : 6,505.20 = 1,414.24 : x
  2. Step 2: Convert to fraction form
    4,336/6,505.20 = 1,414.24/x
  3. Step 3: Cross multiply
    4,336x = 6,505.20 × 1,414.24
  4. Step 4: Simplify right side
    4,336x = 9,199,914.05
  5. Step 5: Solve for x
    x = 9,199,914.05/4,336
  6. Step 6: Final answer
    x = 2,121.75

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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.