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Finding the Fourth Proportional to 6,581.82, 9,872.72 and 4,828.70

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Solution

The fourth proportional to 6,581.82, 9,872.72 and 4,828.70 is: 7,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.82 : 9,872.72 = 4,828.70 : x
  2. Step 2: Convert to fraction form
    6,581.82/9,872.72 = 4,828.70/x
  3. Step 3: Cross multiply
    6,581.82x = 9,872.72 × 4,828.70
  4. Step 4: Simplify right side
    6,581.82x = 47,672,403.06
  5. Step 5: Solve for x
    x = 47,672,403.06/6,581.82
  6. Step 6: Final answer
    x = 7,243.04

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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.