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Finding the Fourth Proportional to 6,564, 9,848.88 and 3,828

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Solution

The fourth proportional to 6,564, 9,848.88 and 3,828 is: 5,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 9,848.88 = 3,828 : x
  2. Step 2: Convert to fraction form
    6,564/9,848.88 = 3,828/x
  3. Step 3: Cross multiply
    6,564x = 9,848.88 × 3,828
  4. Step 4: Simplify right side
    6,564x = 37,701,512.64
  5. Step 5: Solve for x
    x = 37,701,512.64/6,564
  6. Step 6: Final answer
    x = 5,743.68

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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.