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Finding the Fourth Proportional to 6,149.41, 8,485.90 and 3,460.48

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Solution

The fourth proportional to 6,149.41, 8,485.90 and 3,460.48 is: 4,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.41 : 8,485.90 = 3,460.48 : x
  2. Step 2: Convert to fraction form
    6,149.41/8,485.90 = 3,460.48/x
  3. Step 3: Cross multiply
    6,149.41x = 8,485.90 × 3,460.48
  4. Step 4: Simplify right side
    6,149.41x = 29,365,287.23
  5. Step 5: Solve for x
    x = 29,365,287.23/6,149.41
  6. Step 6: Final answer
    x = 4,775.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.