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Finding the Fourth Proportional to 6,228, 9,342 and 2,334.24

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Solution

The fourth proportional to 6,228, 9,342 and 2,334.24 is: 3,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 9,342 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    6,228/9,342 = 2,334.24/x
  3. Step 3: Cross multiply
    6,228x = 9,342 × 2,334.24
  4. Step 4: Simplify right side
    6,228x = 21,806,470.08
  5. Step 5: Solve for x
    x = 21,806,470.08/6,228
  6. Step 6: Final answer
    x = 3,501.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.