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Finding the Fourth Proportional to 25,302, 37,953 and 6,834

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Solution

The fourth proportional to 25,302, 37,953 and 6,834 is: 10,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302 : 37,953 = 6,834 : x
  2. Step 2: Convert to fraction form
    25,302/37,953 = 6,834/x
  3. Step 3: Cross multiply
    25,302x = 37,953 × 6,834
  4. Step 4: Simplify right side
    25,302x = 259,370,802
  5. Step 5: Solve for x
    x = 259,370,802/25,302
  6. Step 6: Final answer
    x = 10,251

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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.