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Finding the Fourth Proportional to 8,011.52, 12,017.28 and 2,816.20

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Solution

The fourth proportional to 8,011.52, 12,017.28 and 2,816.20 is: 4,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.52 : 12,017.28 = 2,816.20 : x
  2. Step 2: Convert to fraction form
    8,011.52/12,017.28 = 2,816.20/x
  3. Step 3: Cross multiply
    8,011.52x = 12,017.28 × 2,816.20
  4. Step 4: Simplify right side
    8,011.52x = 33,843,063.94
  5. Step 5: Solve for x
    x = 33,843,063.94/8,011.52
  6. Step 6: Final answer
    x = 4,224.30

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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.