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Finding the Fourth Proportional to 10,608, 14,639.04 and 6,882

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Solution

The fourth proportional to 10,608, 14,639.04 and 6,882 is: 9,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608 : 14,639.04 = 6,882 : x
  2. Step 2: Convert to fraction form
    10,608/14,639.04 = 6,882/x
  3. Step 3: Cross multiply
    10,608x = 14,639.04 × 6,882
  4. Step 4: Simplify right side
    10,608x = 100,745,873.28
  5. Step 5: Solve for x
    x = 100,745,873.28/10,608
  6. Step 6: Final answer
    x = 9,497.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.