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Finding the Fourth Proportional to 9,204.10, 13,791.30 and 8,329.30

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Solution

The fourth proportional to 9,204.10, 13,791.30 and 8,329.30 is: 12,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.10 : 13,791.30 = 8,329.30 : x
  2. Step 2: Convert to fraction form
    9,204.10/13,791.30 = 8,329.30/x
  3. Step 3: Cross multiply
    9,204.10x = 13,791.30 × 8,329.30
  4. Step 4: Simplify right side
    9,204.10x = 114,871,875.09
  5. Step 5: Solve for x
    x = 114,871,875.09/9,204.10
  6. Step 6: Final answer
    x = 12,480.51

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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.