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Finding the Fourth Proportional to 12,169.84, 16,794.84 and 6,864.36

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Solution

The fourth proportional to 12,169.84, 16,794.84 and 6,864.36 is: 9,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.84 : 16,794.84 = 6,864.36 : x
  2. Step 2: Convert to fraction form
    12,169.84/16,794.84 = 6,864.36/x
  3. Step 3: Cross multiply
    12,169.84x = 16,794.84 × 6,864.36
  4. Step 4: Simplify right side
    12,169.84x = 115,285,827.90
  5. Step 5: Solve for x
    x = 115,285,827.90/12,169.84
  6. Step 6: Final answer
    x = 9,473.08

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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.