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Finding the Fourth Proportional to 12,963.69, 19,449.62 and 4,638.03

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Solution

The fourth proportional to 12,963.69, 19,449.62 and 4,638.03 is: 6,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.69 : 19,449.62 = 4,638.03 : x
  2. Step 2: Convert to fraction form
    12,963.69/19,449.62 = 4,638.03/x
  3. Step 3: Cross multiply
    12,963.69x = 19,449.62 × 4,638.03
  4. Step 4: Simplify right side
    12,963.69x = 90,207,897.86
  5. Step 5: Solve for x
    x = 90,207,897.86/12,963.69
  6. Step 6: Final answer
    x = 6,958.50

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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.