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Finding the Fourth Proportional to 8,207.70, 12,304.80 and 3,531.30

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Solution

The fourth proportional to 8,207.70, 12,304.80 and 3,531.30 is: 5,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.70 : 12,304.80 = 3,531.30 : x
  2. Step 2: Convert to fraction form
    8,207.70/12,304.80 = 3,531.30/x
  3. Step 3: Cross multiply
    8,207.70x = 12,304.80 × 3,531.30
  4. Step 4: Simplify right side
    8,207.70x = 43,451,940.24
  5. Step 5: Solve for x
    x = 43,451,940.24/8,207.70
  6. Step 6: Final answer
    x = 5,294.05

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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.