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Finding the Fourth Proportional to 6,617.77, 9,923.01 and 3,497.24

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Solution

The fourth proportional to 6,617.77, 9,923.01 and 3,497.24 is: 5,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.77 : 9,923.01 = 3,497.24 : x
  2. Step 2: Convert to fraction form
    6,617.77/9,923.01 = 3,497.24/x
  3. Step 3: Cross multiply
    6,617.77x = 9,923.01 × 3,497.24
  4. Step 4: Simplify right side
    6,617.77x = 34,703,159.19
  5. Step 5: Solve for x
    x = 34,703,159.19/6,617.77
  6. Step 6: Final answer
    x = 5,243.94

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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.