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Finding the Fourth Proportional to 24,731.98, 37,104.10 and 7,201.96

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Solution

The fourth proportional to 24,731.98, 37,104.10 and 7,201.96 is: 10,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.98 : 37,104.10 = 7,201.96 : x
  2. Step 2: Convert to fraction form
    24,731.98/37,104.10 = 7,201.96/x
  3. Step 3: Cross multiply
    24,731.98x = 37,104.10 × 7,201.96
  4. Step 4: Simplify right side
    24,731.98x = 267,222,244.04
  5. Step 5: Solve for x
    x = 267,222,244.04/24,731.98
  6. Step 6: Final answer
    x = 10,804.73

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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.