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Finding the Fourth Proportional to 7,608, 10,500 and 4,296

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Solution

The fourth proportional to 7,608, 10,500 and 4,296 is: 5,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608 : 10,500 = 4,296 : x
  2. Step 2: Convert to fraction form
    7,608/10,500 = 4,296/x
  3. Step 3: Cross multiply
    7,608x = 10,500 × 4,296
  4. Step 4: Simplify right side
    7,608x = 45,108,000
  5. Step 5: Solve for x
    x = 45,108,000/7,608
  6. Step 6: Final answer
    x = 5,929.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.