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Finding the Fourth Proportional to 13,159.50, 19,748.97 and 6,234

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Solution

The fourth proportional to 13,159.50, 19,748.97 and 6,234 is: 9,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.50 : 19,748.97 = 6,234 : x
  2. Step 2: Convert to fraction form
    13,159.50/19,748.97 = 6,234/x
  3. Step 3: Cross multiply
    13,159.50x = 19,748.97 × 6,234
  4. Step 4: Simplify right side
    13,159.50x = 123,115,078.98
  5. Step 5: Solve for x
    x = 123,115,078.98/13,159.50
  6. Step 6: Final answer
    x = 9,355.60

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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.