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Finding the Fourth Proportional to 8,106.56, 12,160.84 and 3,175.56

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Solution

The fourth proportional to 8,106.56, 12,160.84 and 3,175.56 is: 4,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.56 : 12,160.84 = 3,175.56 : x
  2. Step 2: Convert to fraction form
    8,106.56/12,160.84 = 3,175.56/x
  3. Step 3: Cross multiply
    8,106.56x = 12,160.84 × 3,175.56
  4. Step 4: Simplify right side
    8,106.56x = 38,617,477.07
  5. Step 5: Solve for x
    x = 38,617,477.07/8,106.56
  6. Step 6: Final answer
    x = 4,763.73

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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.