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Finding the Fourth Proportional to 13,497, 20,245.50 and 4,263

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Solution

The fourth proportional to 13,497, 20,245.50 and 4,263 is: 6,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497 : 20,245.50 = 4,263 : x
  2. Step 2: Convert to fraction form
    13,497/20,245.50 = 4,263/x
  3. Step 3: Cross multiply
    13,497x = 20,245.50 × 4,263
  4. Step 4: Simplify right side
    13,497x = 86,306,566.50
  5. Step 5: Solve for x
    x = 86,306,566.50/13,497
  6. Step 6: Final answer
    x = 6,394.50

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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.