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Finding the Fourth Proportional to 8,224, 11,349.30 and 4,498

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Solution

The fourth proportional to 8,224, 11,349.30 and 4,498 is: 6,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 11,349.30 = 4,498 : x
  2. Step 2: Convert to fraction form
    8,224/11,349.30 = 4,498/x
  3. Step 3: Cross multiply
    8,224x = 11,349.30 × 4,498
  4. Step 4: Simplify right side
    8,224x = 51,049,151.40
  5. Step 5: Solve for x
    x = 51,049,151.40/8,224
  6. Step 6: Final answer
    x = 6,207.34

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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.