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Finding the Fourth Proportional to 11,644.50, 16,069.74 and 6,339

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Solution

The fourth proportional to 11,644.50, 16,069.74 and 6,339 is: 8,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.50 : 16,069.74 = 6,339 : x
  2. Step 2: Convert to fraction form
    11,644.50/16,069.74 = 6,339/x
  3. Step 3: Cross multiply
    11,644.50x = 16,069.74 × 6,339
  4. Step 4: Simplify right side
    11,644.50x = 101,866,081.86
  5. Step 5: Solve for x
    x = 101,866,081.86/11,644.50
  6. Step 6: Final answer
    x = 8,748.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.