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Finding the Fourth Proportional to 8,832.64, 12,171.07 and 8,209.80

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Solution

The fourth proportional to 8,832.64, 12,171.07 and 8,209.80 is: 11,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.64 : 12,171.07 = 8,209.80 : x
  2. Step 2: Convert to fraction form
    8,832.64/12,171.07 = 8,209.80/x
  3. Step 3: Cross multiply
    8,832.64x = 12,171.07 × 8,209.80
  4. Step 4: Simplify right side
    8,832.64x = 99,921,989.63
  5. Step 5: Solve for x
    x = 99,921,989.63/8,832.64
  6. Step 6: Final answer
    x = 11,312.82

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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.