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Finding the Fourth Proportional to 7,405.62, 10,222.38 and 6,530.82

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Solution

The fourth proportional to 7,405.62, 10,222.38 and 6,530.82 is: 9,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.62 : 10,222.38 = 6,530.82 : x
  2. Step 2: Convert to fraction form
    7,405.62/10,222.38 = 6,530.82/x
  3. Step 3: Cross multiply
    7,405.62x = 10,222.38 × 6,530.82
  4. Step 4: Simplify right side
    7,405.62x = 66,760,523.75
  5. Step 5: Solve for x
    x = 66,760,523.75/7,405.62
  6. Step 6: Final answer
    x = 9,014.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.