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Finding the Fourth Proportional to 12,164.04, 16,786.32 and 6,575.04

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Solution

The fourth proportional to 12,164.04, 16,786.32 and 6,575.04 is: 9,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.04 : 16,786.32 = 6,575.04 : x
  2. Step 2: Convert to fraction form
    12,164.04/16,786.32 = 6,575.04/x
  3. Step 3: Cross multiply
    12,164.04x = 16,786.32 × 6,575.04
  4. Step 4: Simplify right side
    12,164.04x = 110,370,725.45
  5. Step 5: Solve for x
    x = 110,370,725.45/12,164.04
  6. Step 6: Final answer
    x = 9,073.53

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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.