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Finding the Fourth Proportional to 8,584.01, 12,760.25 and 8,331.77

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Solution

The fourth proportional to 8,584.01, 12,760.25 and 8,331.77 is: 12,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.01 : 12,760.25 = 8,331.77 : x
  2. Step 2: Convert to fraction form
    8,584.01/12,760.25 = 8,331.77/x
  3. Step 3: Cross multiply
    8,584.01x = 12,760.25 × 8,331.77
  4. Step 4: Simplify right side
    8,584.01x = 106,315,362.68
  5. Step 5: Solve for x
    x = 106,315,362.68/8,584.01
  6. Step 6: Final answer
    x = 12,385.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.