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Finding the Fourth Proportional to 6,165.16, 9,267.79 and 4,945.91

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Solution

The fourth proportional to 6,165.16, 9,267.79 and 4,945.91 is: 7,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.16 : 9,267.79 = 4,945.91 : x
  2. Step 2: Convert to fraction form
    6,165.16/9,267.79 = 4,945.91/x
  3. Step 3: Cross multiply
    6,165.16x = 9,267.79 × 4,945.91
  4. Step 4: Simplify right side
    6,165.16x = 45,837,619.70
  5. Step 5: Solve for x
    x = 45,837,619.70/6,165.16
  6. Step 6: Final answer
    x = 7,434.94

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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.