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Finding the Fourth Proportional to 25,670, 38,505 and 9,254

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Solution

The fourth proportional to 25,670, 38,505 and 9,254 is: 13,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670 : 38,505 = 9,254 : x
  2. Step 2: Convert to fraction form
    25,670/38,505 = 9,254/x
  3. Step 3: Cross multiply
    25,670x = 38,505 × 9,254
  4. Step 4: Simplify right side
    25,670x = 356,325,270
  5. Step 5: Solve for x
    x = 356,325,270/25,670
  6. Step 6: Final answer
    x = 13,881

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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.