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Finding the Fourth Proportional to 8,653.12, 12,962.21 and 8,204.78

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Solution

The fourth proportional to 8,653.12, 12,962.21 and 8,204.78 is: 12,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.12 : 12,962.21 = 8,204.78 : x
  2. Step 2: Convert to fraction form
    8,653.12/12,962.21 = 8,204.78/x
  3. Step 3: Cross multiply
    8,653.12x = 12,962.21 × 8,204.78
  4. Step 4: Simplify right side
    8,653.12x = 106,352,081.36
  5. Step 5: Solve for x
    x = 106,352,081.36/8,653.12
  6. Step 6: Final answer
    x = 12,290.61

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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.