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Finding the Fourth Proportional to 7,231.48, 10,847.60 and 2,301.48

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Solution

The fourth proportional to 7,231.48, 10,847.60 and 2,301.48 is: 3,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.48 : 10,847.60 = 2,301.48 : x
  2. Step 2: Convert to fraction form
    7,231.48/10,847.60 = 2,301.48/x
  3. Step 3: Cross multiply
    7,231.48x = 10,847.60 × 2,301.48
  4. Step 4: Simplify right side
    7,231.48x = 24,965,534.45
  5. Step 5: Solve for x
    x = 24,965,534.45/7,231.48
  6. Step 6: Final answer
    x = 3,452.34

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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.