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Finding the Fourth Proportional to 7,302, 10,953 and 1,830

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Solution

The fourth proportional to 7,302, 10,953 and 1,830 is: 2,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 10,953 = 1,830 : x
  2. Step 2: Convert to fraction form
    7,302/10,953 = 1,830/x
  3. Step 3: Cross multiply
    7,302x = 10,953 × 1,830
  4. Step 4: Simplify right side
    7,302x = 20,043,990
  5. Step 5: Solve for x
    x = 20,043,990/7,302
  6. Step 6: Final answer
    x = 2,745

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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.