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Finding the Fourth Proportional to 8,362.94, 12,544.02 and 3,431.36

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Solution

The fourth proportional to 8,362.94, 12,544.02 and 3,431.36 is: 5,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.94 : 12,544.02 = 3,431.36 : x
  2. Step 2: Convert to fraction form
    8,362.94/12,544.02 = 3,431.36/x
  3. Step 3: Cross multiply
    8,362.94x = 12,544.02 × 3,431.36
  4. Step 4: Simplify right side
    8,362.94x = 43,043,048.47
  5. Step 5: Solve for x
    x = 43,043,048.47/8,362.94
  6. Step 6: Final answer
    x = 5,146.88

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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.