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Finding the Fourth Proportional to 11,967.50, 17,953.84 and 3,647.30

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Solution

The fourth proportional to 11,967.50, 17,953.84 and 3,647.30 is: 5,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.50 : 17,953.84 = 3,647.30 : x
  2. Step 2: Convert to fraction form
    11,967.50/17,953.84 = 3,647.30/x
  3. Step 3: Cross multiply
    11,967.50x = 17,953.84 × 3,647.30
  4. Step 4: Simplify right side
    11,967.50x = 65,482,941.74
  5. Step 5: Solve for x
    x = 65,482,941.74/11,967.50
  6. Step 6: Final answer
    x = 5,471.73

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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.