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Finding the Fourth Proportional to 8,204.67, 12,309.84 and 4,502.16

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Solution

The fourth proportional to 8,204.67, 12,309.84 and 4,502.16 is: 6,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.67 : 12,309.84 = 4,502.16 : x
  2. Step 2: Convert to fraction form
    8,204.67/12,309.84 = 4,502.16/x
  3. Step 3: Cross multiply
    8,204.67x = 12,309.84 × 4,502.16
  4. Step 4: Simplify right side
    8,204.67x = 55,420,869.25
  5. Step 5: Solve for x
    x = 55,420,869.25/8,204.67
  6. Step 6: Final answer
    x = 6,754.80

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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.