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Finding the Fourth Proportional to 6,568.01, 9,828.90 and 4,103.99

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Solution

The fourth proportional to 6,568.01, 9,828.90 and 4,103.99 is: 6,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.01 : 9,828.90 = 4,103.99 : x
  2. Step 2: Convert to fraction form
    6,568.01/9,828.90 = 4,103.99/x
  3. Step 3: Cross multiply
    6,568.01x = 9,828.90 × 4,103.99
  4. Step 4: Simplify right side
    6,568.01x = 40,337,707.31
  5. Step 5: Solve for x
    x = 40,337,707.31/6,568.01
  6. Step 6: Final answer
    x = 6,141.54

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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.