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Finding the Fourth Proportional to 13,168, 19,752 and 3,440

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Solution

The fourth proportional to 13,168, 19,752 and 3,440 is: 5,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168 : 19,752 = 3,440 : x
  2. Step 2: Convert to fraction form
    13,168/19,752 = 3,440/x
  3. Step 3: Cross multiply
    13,168x = 19,752 × 3,440
  4. Step 4: Simplify right side
    13,168x = 67,946,880
  5. Step 5: Solve for x
    x = 67,946,880/13,168
  6. Step 6: Final answer
    x = 5,160

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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.