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Finding the Fourth Proportional to 23,516, 35,274 and 7,100

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Solution

The fourth proportional to 23,516, 35,274 and 7,100 is: 10,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516 : 35,274 = 7,100 : x
  2. Step 2: Convert to fraction form
    23,516/35,274 = 7,100/x
  3. Step 3: Cross multiply
    23,516x = 35,274 × 7,100
  4. Step 4: Simplify right side
    23,516x = 250,445,400
  5. Step 5: Solve for x
    x = 250,445,400/23,516
  6. Step 6: Final answer
    x = 10,650

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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.