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Finding the Fourth Proportional to 8,057.46, 11,164.05 and 7,882.50

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Solution

The fourth proportional to 8,057.46, 11,164.05 and 7,882.50 is: 10,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.46 : 11,164.05 = 7,882.50 : x
  2. Step 2: Convert to fraction form
    8,057.46/11,164.05 = 7,882.50/x
  3. Step 3: Cross multiply
    8,057.46x = 11,164.05 × 7,882.50
  4. Step 4: Simplify right side
    8,057.46x = 88,000,624.13
  5. Step 5: Solve for x
    x = 88,000,624.13/8,057.46
  6. Step 6: Final answer
    x = 10,921.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.