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Finding the Fourth Proportional to 6,652.23, 9,984.67 and 4,891.89

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Solution

The fourth proportional to 6,652.23, 9,984.67 and 4,891.89 is: 7,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.23 : 9,984.67 = 4,891.89 : x
  2. Step 2: Convert to fraction form
    6,652.23/9,984.67 = 4,891.89/x
  3. Step 3: Cross multiply
    6,652.23x = 9,984.67 × 4,891.89
  4. Step 4: Simplify right side
    6,652.23x = 48,843,932.54
  5. Step 5: Solve for x
    x = 48,843,932.54/6,652.23
  6. Step 6: Final answer
    x = 7,342.49

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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.