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Finding the Fourth Proportional to 10,314.09, 15,471 and 2,522.97

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Solution

The fourth proportional to 10,314.09, 15,471 and 2,522.97 is: 3,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.09 : 15,471 = 2,522.97 : x
  2. Step 2: Convert to fraction form
    10,314.09/15,471 = 2,522.97/x
  3. Step 3: Cross multiply
    10,314.09x = 15,471 × 2,522.97
  4. Step 4: Simplify right side
    10,314.09x = 39,032,868.87
  5. Step 5: Solve for x
    x = 39,032,868.87/10,314.09
  6. Step 6: Final answer
    x = 3,784.42

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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.