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Finding the Fourth Proportional to 13,095, 19,645.74 and 3,861

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Solution

The fourth proportional to 13,095, 19,645.74 and 3,861 is: 5,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095 : 19,645.74 = 3,861 : x
  2. Step 2: Convert to fraction form
    13,095/19,645.74 = 3,861/x
  3. Step 3: Cross multiply
    13,095x = 19,645.74 × 3,861
  4. Step 4: Simplify right side
    13,095x = 75,852,202.14
  5. Step 5: Solve for x
    x = 75,852,202.14/13,095
  6. Step 6: Final answer
    x = 5,792.46

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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.