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Finding the Fourth Proportional to 15,371.75, 23,058.03 and 6,137.75

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Solution

The fourth proportional to 15,371.75, 23,058.03 and 6,137.75 is: 9,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,371.75 : 23,058.03 = 6,137.75 : x
  2. Step 2: Convert to fraction form
    15,371.75/23,058.03 = 6,137.75/x
  3. Step 3: Cross multiply
    15,371.75x = 23,058.03 × 6,137.75
  4. Step 4: Simplify right side
    15,371.75x = 141,524,423.63
  5. Step 5: Solve for x
    x = 141,524,423.63/15,371.75
  6. Step 6: Final answer
    x = 9,206.79

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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.