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Finding the Fourth Proportional to 6,000.66, 9,018 and 3,535.83

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Solution

The fourth proportional to 6,000.66, 9,018 and 3,535.83 is: 5,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.66 : 9,018 = 3,535.83 : x
  2. Step 2: Convert to fraction form
    6,000.66/9,018 = 3,535.83/x
  3. Step 3: Cross multiply
    6,000.66x = 9,018 × 3,535.83
  4. Step 4: Simplify right side
    6,000.66x = 31,886,114.94
  5. Step 5: Solve for x
    x = 31,886,114.94/6,000.66
  6. Step 6: Final answer
    x = 5,313.77

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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.