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Finding the Fourth Proportional to 8,013.12, 12,010.50 and 3,080.22

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Solution

The fourth proportional to 8,013.12, 12,010.50 and 3,080.22 is: 4,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.12 : 12,010.50 = 3,080.22 : x
  2. Step 2: Convert to fraction form
    8,013.12/12,010.50 = 3,080.22/x
  3. Step 3: Cross multiply
    8,013.12x = 12,010.50 × 3,080.22
  4. Step 4: Simplify right side
    8,013.12x = 36,994,982.31
  5. Step 5: Solve for x
    x = 36,994,982.31/8,013.12
  6. Step 6: Final answer
    x = 4,616.80

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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.