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Finding the Fourth Proportional to 12,297.84, 16,969.84 and 6,992.36

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Solution

The fourth proportional to 12,297.84, 16,969.84 and 6,992.36 is: 9,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.84 : 16,969.84 = 6,992.36 : x
  2. Step 2: Convert to fraction form
    12,297.84/16,969.84 = 6,992.36/x
  3. Step 3: Cross multiply
    12,297.84x = 16,969.84 × 6,992.36
  4. Step 4: Simplify right side
    12,297.84x = 118,659,230.42
  5. Step 5: Solve for x
    x = 118,659,230.42/12,297.84
  6. Step 6: Final answer
    x = 9,648.79

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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.