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Finding the Fourth Proportional to 8,002.80, 12,009.60 and 5,222.70

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Solution

The fourth proportional to 8,002.80, 12,009.60 and 5,222.70 is: 7,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.80 : 12,009.60 = 5,222.70 : x
  2. Step 2: Convert to fraction form
    8,002.80/12,009.60 = 5,222.70/x
  3. Step 3: Cross multiply
    8,002.80x = 12,009.60 × 5,222.70
  4. Step 4: Simplify right side
    8,002.80x = 62,722,537.92
  5. Step 5: Solve for x
    x = 62,722,537.92/8,002.80
  6. Step 6: Final answer
    x = 7,837.57

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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.