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Finding the Fourth Proportional to 6,213.24, 8,566.38 and 4,533.24

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Solution

The fourth proportional to 6,213.24, 8,566.38 and 4,533.24 is: 6,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.24 : 8,566.38 = 4,533.24 : x
  2. Step 2: Convert to fraction form
    6,213.24/8,566.38 = 4,533.24/x
  3. Step 3: Cross multiply
    6,213.24x = 8,566.38 × 4,533.24
  4. Step 4: Simplify right side
    6,213.24x = 38,833,456.47
  5. Step 5: Solve for x
    x = 38,833,456.47/6,213.24
  6. Step 6: Final answer
    x = 6,250.11

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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.