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Finding the Fourth Proportional to 6,554.76, 9,829.53 and 2,393.82

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Solution

The fourth proportional to 6,554.76, 9,829.53 and 2,393.82 is: 3,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.76 : 9,829.53 = 2,393.82 : x
  2. Step 2: Convert to fraction form
    6,554.76/9,829.53 = 2,393.82/x
  3. Step 3: Cross multiply
    6,554.76x = 9,829.53 × 2,393.82
  4. Step 4: Simplify right side
    6,554.76x = 23,530,125.50
  5. Step 5: Solve for x
    x = 23,530,125.50/6,554.76
  6. Step 6: Final answer
    x = 3,589.78

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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.