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Finding the Fourth Proportional to 8,192.84, 12,288.99 and 4,496.81

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Solution

The fourth proportional to 8,192.84, 12,288.99 and 4,496.81 is: 6,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.84 : 12,288.99 = 4,496.81 : x
  2. Step 2: Convert to fraction form
    8,192.84/12,288.99 = 4,496.81/x
  3. Step 3: Cross multiply
    8,192.84x = 12,288.99 × 4,496.81
  4. Step 4: Simplify right side
    8,192.84x = 55,261,253.12
  5. Step 5: Solve for x
    x = 55,261,253.12/8,192.84
  6. Step 6: Final answer
    x = 6,745.07

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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.