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Finding the Fourth Proportional to 8,106.97, 12,160.46 and 1,950.97

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Solution

The fourth proportional to 8,106.97, 12,160.46 and 1,950.97 is: 2,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.97 : 12,160.46 = 1,950.97 : x
  2. Step 2: Convert to fraction form
    8,106.97/12,160.46 = 1,950.97/x
  3. Step 3: Cross multiply
    8,106.97x = 12,160.46 × 1,950.97
  4. Step 4: Simplify right side
    8,106.97x = 23,724,682.89
  5. Step 5: Solve for x
    x = 23,724,682.89/8,106.97
  6. Step 6: Final answer
    x = 2,926.46

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Double scale
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Similar ratio
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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.