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Finding the Fourth Proportional to 6,528.93, 9,786.36 and 3,234.93

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Solution

The fourth proportional to 6,528.93, 9,786.36 and 3,234.93 is: 4,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.93 : 9,786.36 = 3,234.93 : x
  2. Step 2: Convert to fraction form
    6,528.93/9,786.36 = 3,234.93/x
  3. Step 3: Cross multiply
    6,528.93x = 9,786.36 × 3,234.93
  4. Step 4: Simplify right side
    6,528.93x = 31,658,189.55
  5. Step 5: Solve for x
    x = 31,658,189.55/6,528.93
  6. Step 6: Final answer
    x = 4,848.91

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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.