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Finding the Fourth Proportional to 6,597.65, 9,902.86 and 5,379.82

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Solution

The fourth proportional to 6,597.65, 9,902.86 and 5,379.82 is: 8,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.65 : 9,902.86 = 5,379.82 : x
  2. Step 2: Convert to fraction form
    6,597.65/9,902.86 = 5,379.82/x
  3. Step 3: Cross multiply
    6,597.65x = 9,902.86 × 5,379.82
  4. Step 4: Simplify right side
    6,597.65x = 53,275,566.08
  5. Step 5: Solve for x
    x = 53,275,566.08/6,597.65
  6. Step 6: Final answer
    x = 8,074.93

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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.