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Finding the Fourth Proportional to 10,065.69, 13,891.64 and 5,816.97

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Solution

The fourth proportional to 10,065.69, 13,891.64 and 5,816.97 is: 8,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.69 : 13,891.64 = 5,816.97 : x
  2. Step 2: Convert to fraction form
    10,065.69/13,891.64 = 5,816.97/x
  3. Step 3: Cross multiply
    10,065.69x = 13,891.64 × 5,816.97
  4. Step 4: Simplify right side
    10,065.69x = 80,807,224.05
  5. Step 5: Solve for x
    x = 80,807,224.05/10,065.69
  6. Step 6: Final answer
    x = 8,027.99

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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.