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Finding the Fourth Proportional to 6,580.62, 9,853.11 and 5,398.02

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Solution

The fourth proportional to 6,580.62, 9,853.11 and 5,398.02 is: 8,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.62 : 9,853.11 = 5,398.02 : x
  2. Step 2: Convert to fraction form
    6,580.62/9,853.11 = 5,398.02/x
  3. Step 3: Cross multiply
    6,580.62x = 9,853.11 × 5,398.02
  4. Step 4: Simplify right side
    6,580.62x = 53,187,284.84
  5. Step 5: Solve for x
    x = 53,187,284.84/6,580.62
  6. Step 6: Final answer
    x = 8,082.41

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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.