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Finding the Fourth Proportional to 14,286, 21,429.27 and 3,898.02

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Solution

The fourth proportional to 14,286, 21,429.27 and 3,898.02 is: 5,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286 : 21,429.27 = 3,898.02 : x
  2. Step 2: Convert to fraction form
    14,286/21,429.27 = 3,898.02/x
  3. Step 3: Cross multiply
    14,286x = 21,429.27 × 3,898.02
  4. Step 4: Simplify right side
    14,286x = 83,531,723.05
  5. Step 5: Solve for x
    x = 83,531,723.05/14,286
  6. Step 6: Final answer
    x = 5,847.10

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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.