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Finding the Fourth Proportional to 8,309.88, 12,383.82 and 8,069.99

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Solution

The fourth proportional to 8,309.88, 12,383.82 and 8,069.99 is: 12,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.88 : 12,383.82 = 8,069.99 : x
  2. Step 2: Convert to fraction form
    8,309.88/12,383.82 = 8,069.99/x
  3. Step 3: Cross multiply
    8,309.88x = 12,383.82 × 8,069.99
  4. Step 4: Simplify right side
    8,309.88x = 99,937,241.64
  5. Step 5: Solve for x
    x = 99,937,241.64/8,309.88
  6. Step 6: Final answer
    x = 12,026.32

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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.