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Finding the Fourth Proportional to 8,200.75, 12,303.08 and 2,654.09

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Solution

The fourth proportional to 8,200.75, 12,303.08 and 2,654.09 is: 3,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.75 : 12,303.08 = 2,654.09 : x
  2. Step 2: Convert to fraction form
    8,200.75/12,303.08 = 2,654.09/x
  3. Step 3: Cross multiply
    8,200.75x = 12,303.08 × 2,654.09
  4. Step 4: Simplify right side
    8,200.75x = 32,653,514.87
  5. Step 5: Solve for x
    x = 32,653,514.87/8,200.75
  6. Step 6: Final answer
    x = 3,981.77

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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.