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Finding the Fourth Proportional to 25,692, 38,538 and 6,236

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Solution

The fourth proportional to 25,692, 38,538 and 6,236 is: 9,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 38,538 = 6,236 : x
  2. Step 2: Convert to fraction form
    25,692/38,538 = 6,236/x
  3. Step 3: Cross multiply
    25,692x = 38,538 × 6,236
  4. Step 4: Simplify right side
    25,692x = 240,322,968
  5. Step 5: Solve for x
    x = 240,322,968/25,692
  6. Step 6: Final answer
    x = 9,354

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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.