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Finding the Fourth Proportional to 9,020.62, 13,535.79 and 6,828.82

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Solution

The fourth proportional to 9,020.62, 13,535.79 and 6,828.82 is: 10,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.62 : 13,535.79 = 6,828.82 : x
  2. Step 2: Convert to fraction form
    9,020.62/13,535.79 = 6,828.82/x
  3. Step 3: Cross multiply
    9,020.62x = 13,535.79 × 6,828.82
  4. Step 4: Simplify right side
    9,020.62x = 92,433,473.47
  5. Step 5: Solve for x
    x = 92,433,473.47/9,020.62
  6. Step 6: Final answer
    x = 10,246.91

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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.