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Finding the Fourth Proportional to 6,571.13, 9,068.18 and 4,213.28

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Solution

The fourth proportional to 6,571.13, 9,068.18 and 4,213.28 is: 5,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.13 : 9,068.18 = 4,213.28 : x
  2. Step 2: Convert to fraction form
    6,571.13/9,068.18 = 4,213.28/x
  3. Step 3: Cross multiply
    6,571.13x = 9,068.18 × 4,213.28
  4. Step 4: Simplify right side
    6,571.13x = 38,206,781.43
  5. Step 5: Solve for x
    x = 38,206,781.43/6,571.13
  6. Step 6: Final answer
    x = 5,814.34

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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.