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Finding the Fourth Proportional to 6,605.68, 9,924 and 6,232.06

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Solution

The fourth proportional to 6,605.68, 9,924 and 6,232.06 is: 9,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.68 : 9,924 = 6,232.06 : x
  2. Step 2: Convert to fraction form
    6,605.68/9,924 = 6,232.06/x
  3. Step 3: Cross multiply
    6,605.68x = 9,924 × 6,232.06
  4. Step 4: Simplify right side
    6,605.68x = 61,846,963.44
  5. Step 5: Solve for x
    x = 61,846,963.44/6,605.68
  6. Step 6: Final answer
    x = 9,362.69

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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.