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Finding the Fourth Proportional to 7,243.60, 10,865.40 and 2,313.20

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Solution

The fourth proportional to 7,243.60, 10,865.40 and 2,313.20 is: 3,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.60 : 10,865.40 = 2,313.20 : x
  2. Step 2: Convert to fraction form
    7,243.60/10,865.40 = 2,313.20/x
  3. Step 3: Cross multiply
    7,243.60x = 10,865.40 × 2,313.20
  4. Step 4: Simplify right side
    7,243.60x = 25,133,843.28
  5. Step 5: Solve for x
    x = 25,133,843.28/7,243.60
  6. Step 6: Final answer
    x = 3,469.80

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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.