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Finding the Fourth Proportional to 4,961.47, 7,442.27 and 1,840.27

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Solution

The fourth proportional to 4,961.47, 7,442.27 and 1,840.27 is: 2,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.47 : 7,442.27 = 1,840.27 : x
  2. Step 2: Convert to fraction form
    4,961.47/7,442.27 = 1,840.27/x
  3. Step 3: Cross multiply
    4,961.47x = 7,442.27 × 1,840.27
  4. Step 4: Simplify right side
    4,961.47x = 13,695,772.21
  5. Step 5: Solve for x
    x = 13,695,772.21/4,961.47
  6. Step 6: Final answer
    x = 2,760.43

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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.