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Finding the Fourth Proportional to 12,069.82, 16,657 and 6,766.34

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Solution

The fourth proportional to 12,069.82, 16,657 and 6,766.34 is: 9,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.82 : 16,657 = 6,766.34 : x
  2. Step 2: Convert to fraction form
    12,069.82/16,657 = 6,766.34/x
  3. Step 3: Cross multiply
    12,069.82x = 16,657 × 6,766.34
  4. Step 4: Simplify right side
    12,069.82x = 112,706,925.38
  5. Step 5: Solve for x
    x = 112,706,925.38/12,069.82
  6. Step 6: Final answer
    x = 9,337.91

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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.