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Finding the Fourth Proportional to 8,217.64, 12,326.46 and 7,504.84

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Solution

The fourth proportional to 8,217.64, 12,326.46 and 7,504.84 is: 11,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.64 : 12,326.46 = 7,504.84 : x
  2. Step 2: Convert to fraction form
    8,217.64/12,326.46 = 7,504.84/x
  3. Step 3: Cross multiply
    8,217.64x = 12,326.46 × 7,504.84
  4. Step 4: Simplify right side
    8,217.64x = 92,508,110.07
  5. Step 5: Solve for x
    x = 92,508,110.07/8,217.64
  6. Step 6: Final answer
    x = 11,257.26

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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.