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Finding the Fourth Proportional to 7,129.89, 9,840.81 and 4,147.44

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Solution

The fourth proportional to 7,129.89, 9,840.81 and 4,147.44 is: 5,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.89 : 9,840.81 = 4,147.44 : x
  2. Step 2: Convert to fraction form
    7,129.89/9,840.81 = 4,147.44/x
  3. Step 3: Cross multiply
    7,129.89x = 9,840.81 × 4,147.44
  4. Step 4: Simplify right side
    7,129.89x = 40,814,169.03
  5. Step 5: Solve for x
    x = 40,814,169.03/7,129.89
  6. Step 6: Final answer
    x = 5,724.38

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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.