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Finding the Fourth Proportional to 8,202.83, 12,304.17 and 2,046.83

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Solution

The fourth proportional to 8,202.83, 12,304.17 and 2,046.83 is: 3,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.83 : 12,304.17 = 2,046.83 : x
  2. Step 2: Convert to fraction form
    8,202.83/12,304.17 = 2,046.83/x
  3. Step 3: Cross multiply
    8,202.83x = 12,304.17 × 2,046.83
  4. Step 4: Simplify right side
    8,202.83x = 25,184,482.76
  5. Step 5: Solve for x
    x = 25,184,482.76/8,202.83
  6. Step 6: Final answer
    x = 3,070.22

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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.