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Finding the Fourth Proportional to 6,578.62, 9,877.02 and 4,123.06

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Solution

The fourth proportional to 6,578.62, 9,877.02 and 4,123.06 is: 6,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.62 : 9,877.02 = 4,123.06 : x
  2. Step 2: Convert to fraction form
    6,578.62/9,877.02 = 4,123.06/x
  3. Step 3: Cross multiply
    6,578.62x = 9,877.02 × 4,123.06
  4. Step 4: Simplify right side
    6,578.62x = 40,723,546.08
  5. Step 5: Solve for x
    x = 40,723,546.08/6,578.62
  6. Step 6: Final answer
    x = 6,190.29

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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.