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Finding the Fourth Proportional to 8,646.39, 12,969.80 and 3,100.12

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Solution

The fourth proportional to 8,646.39, 12,969.80 and 3,100.12 is: 4,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.39 : 12,969.80 = 3,100.12 : x
  2. Step 2: Convert to fraction form
    8,646.39/12,969.80 = 3,100.12/x
  3. Step 3: Cross multiply
    8,646.39x = 12,969.80 × 3,100.12
  4. Step 4: Simplify right side
    8,646.39x = 40,207,936.38
  5. Step 5: Solve for x
    x = 40,207,936.38/8,646.39
  6. Step 6: Final answer
    x = 4,650.26

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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.