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Finding the Fourth Proportional to 8,171.84, 12,256.58 and 2,624.46

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Solution

The fourth proportional to 8,171.84, 12,256.58 and 2,624.46 is: 3,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.84 : 12,256.58 = 2,624.46 : x
  2. Step 2: Convert to fraction form
    8,171.84/12,256.58 = 2,624.46/x
  3. Step 3: Cross multiply
    8,171.84x = 12,256.58 × 2,624.46
  4. Step 4: Simplify right side
    8,171.84x = 32,166,910.51
  5. Step 5: Solve for x
    x = 32,166,910.51/8,171.84
  6. Step 6: Final answer
    x = 3,936.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.