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Finding the Fourth Proportional to 6,859.98, 9,466.62 and 3,875.82

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Solution

The fourth proportional to 6,859.98, 9,466.62 and 3,875.82 is: 5,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.98 : 9,466.62 = 3,875.82 : x
  2. Step 2: Convert to fraction form
    6,859.98/9,466.62 = 3,875.82/x
  3. Step 3: Cross multiply
    6,859.98x = 9,466.62 × 3,875.82
  4. Step 4: Simplify right side
    6,859.98x = 36,690,915.13
  5. Step 5: Solve for x
    x = 36,690,915.13/6,859.98
  6. Step 6: Final answer
    x = 5,348.55

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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.