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Finding the Fourth Proportional to 10,057.84, 13,879.82 and 5,866.90

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Solution

The fourth proportional to 10,057.84, 13,879.82 and 5,866.90 is: 8,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.84 : 13,879.82 = 5,866.90 : x
  2. Step 2: Convert to fraction form
    10,057.84/13,879.82 = 5,866.90/x
  3. Step 3: Cross multiply
    10,057.84x = 13,879.82 × 5,866.90
  4. Step 4: Simplify right side
    10,057.84x = 81,431,515.96
  5. Step 5: Solve for x
    x = 81,431,515.96/10,057.84
  6. Step 6: Final answer
    x = 8,096.32

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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.