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Finding the Fourth Proportional to 8,205.66, 12,310.11 and 3,011.58

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Solution

The fourth proportional to 8,205.66, 12,310.11 and 3,011.58 is: 4,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.66 : 12,310.11 = 3,011.58 : x
  2. Step 2: Convert to fraction form
    8,205.66/12,310.11 = 3,011.58/x
  3. Step 3: Cross multiply
    8,205.66x = 12,310.11 × 3,011.58
  4. Step 4: Simplify right side
    8,205.66x = 37,072,881.07
  5. Step 5: Solve for x
    x = 37,072,881.07/8,205.66
  6. Step 6: Final answer
    x = 4,517.96

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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.