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Finding the Fourth Proportional to 8,202.94, 11,320.09 and 4,476.94

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Solution

The fourth proportional to 8,202.94, 11,320.09 and 4,476.94 is: 6,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.94 : 11,320.09 = 4,476.94 : x
  2. Step 2: Convert to fraction form
    8,202.94/11,320.09 = 4,476.94/x
  3. Step 3: Cross multiply
    8,202.94x = 11,320.09 × 4,476.94
  4. Step 4: Simplify right side
    8,202.94x = 50,679,324.23
  5. Step 5: Solve for x
    x = 50,679,324.23/8,202.94
  6. Step 6: Final answer
    x = 6,178.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.