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Finding the Fourth Proportional to 6,882, 9,499.32 and 4,398

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Solution

The fourth proportional to 6,882, 9,499.32 and 4,398 is: 6,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882 : 9,499.32 = 4,398 : x
  2. Step 2: Convert to fraction form
    6,882/9,499.32 = 4,398/x
  3. Step 3: Cross multiply
    6,882x = 9,499.32 × 4,398
  4. Step 4: Simplify right side
    6,882x = 41,778,009.36
  5. Step 5: Solve for x
    x = 41,778,009.36/6,882
  6. Step 6: Final answer
    x = 6,070.62

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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.