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Finding the Fourth Proportional to 12,301, 18,451.50 and 4,093

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Solution

The fourth proportional to 12,301, 18,451.50 and 4,093 is: 6,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301 : 18,451.50 = 4,093 : x
  2. Step 2: Convert to fraction form
    12,301/18,451.50 = 4,093/x
  3. Step 3: Cross multiply
    12,301x = 18,451.50 × 4,093
  4. Step 4: Simplify right side
    12,301x = 75,521,989.50
  5. Step 5: Solve for x
    x = 75,521,989.50/12,301
  6. Step 6: Final answer
    x = 6,139.50

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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.