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Finding the Fourth Proportional to 27,841, 41,760.68 and 10,310.44

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Solution

The fourth proportional to 27,841, 41,760.68 and 10,310.44 is: 15,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841 : 41,760.68 = 10,310.44 : x
  2. Step 2: Convert to fraction form
    27,841/41,760.68 = 10,310.44/x
  3. Step 3: Cross multiply
    27,841x = 41,760.68 × 10,310.44
  4. Step 4: Simplify right side
    27,841x = 430,570,985.50
  5. Step 5: Solve for x
    x = 430,570,985.50/27,841
  6. Step 6: Final answer
    x = 15,465.36

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1.5x scale

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.