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Finding the Fourth Proportional to 12,164.49, 16,786.98 and 6,575.49

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Solution

The fourth proportional to 12,164.49, 16,786.98 and 6,575.49 is: 9,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.49 : 16,786.98 = 6,575.49 : x
  2. Step 2: Convert to fraction form
    12,164.49/16,786.98 = 6,575.49/x
  3. Step 3: Cross multiply
    12,164.49x = 16,786.98 × 6,575.49
  4. Step 4: Simplify right side
    12,164.49x = 110,382,619.12
  5. Step 5: Solve for x
    x = 110,382,619.12/12,164.49
  6. Step 6: Final answer
    x = 9,074.17

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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.