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Finding the Fourth Proportional to 8,002.40, 11,995.39 and 3,836.16

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Solution

The fourth proportional to 8,002.40, 11,995.39 and 3,836.16 is: 5,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.40 : 11,995.39 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    8,002.40/11,995.39 = 3,836.16/x
  3. Step 3: Cross multiply
    8,002.40x = 11,995.39 × 3,836.16
  4. Step 4: Simplify right side
    8,002.40x = 46,016,240.10
  5. Step 5: Solve for x
    x = 46,016,240.10/8,002.40
  6. Step 6: Final answer
    x = 5,750.31

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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.