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Finding the Fourth Proportional to 6,643.62, 9,967.86 and 3,724.38

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Solution

The fourth proportional to 6,643.62, 9,967.86 and 3,724.38 is: 5,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.62 : 9,967.86 = 3,724.38 : x
  2. Step 2: Convert to fraction form
    6,643.62/9,967.86 = 3,724.38/x
  3. Step 3: Cross multiply
    6,643.62x = 9,967.86 × 3,724.38
  4. Step 4: Simplify right side
    6,643.62x = 37,124,098.43
  5. Step 5: Solve for x
    x = 37,124,098.43/6,643.62
  6. Step 6: Final answer
    x = 5,587.93

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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.