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Finding the Fourth Proportional to 8,007.52, 12,013.44 and 2,813.92

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Solution

The fourth proportional to 8,007.52, 12,013.44 and 2,813.92 is: 4,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.52 : 12,013.44 = 2,813.92 : x
  2. Step 2: Convert to fraction form
    8,007.52/12,013.44 = 2,813.92/x
  3. Step 3: Cross multiply
    8,007.52x = 12,013.44 × 2,813.92
  4. Step 4: Simplify right side
    8,007.52x = 33,804,859.08
  5. Step 5: Solve for x
    x = 33,804,859.08/8,007.52
  6. Step 6: Final answer
    x = 4,221.64

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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.