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Finding the Fourth Proportional to 13,141, 19,711.50 and 3,907

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Solution

The fourth proportional to 13,141, 19,711.50 and 3,907 is: 5,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141 : 19,711.50 = 3,907 : x
  2. Step 2: Convert to fraction form
    13,141/19,711.50 = 3,907/x
  3. Step 3: Cross multiply
    13,141x = 19,711.50 × 3,907
  4. Step 4: Simplify right side
    13,141x = 77,012,830.50
  5. Step 5: Solve for x
    x = 77,012,830.50/13,141
  6. Step 6: Final answer
    x = 5,860.50

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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.