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Finding the Fourth Proportional to 6,236, 9,354 and 3,158

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Solution

The fourth proportional to 6,236, 9,354 and 3,158 is: 4,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236 : 9,354 = 3,158 : x
  2. Step 2: Convert to fraction form
    6,236/9,354 = 3,158/x
  3. Step 3: Cross multiply
    6,236x = 9,354 × 3,158
  4. Step 4: Simplify right side
    6,236x = 29,539,932
  5. Step 5: Solve for x
    x = 29,539,932/6,236
  6. Step 6: Final answer
    x = 4,737

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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.