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Finding the Fourth Proportional to 12,093.66, 16,688.97 and 6,788.34

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Solution

The fourth proportional to 12,093.66, 16,688.97 and 6,788.34 is: 9,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.66 : 16,688.97 = 6,788.34 : x
  2. Step 2: Convert to fraction form
    12,093.66/16,688.97 = 6,788.34/x
  3. Step 3: Cross multiply
    12,093.66x = 16,688.97 × 6,788.34
  4. Step 4: Simplify right side
    12,093.66x = 113,290,402.61
  5. Step 5: Solve for x
    x = 113,290,402.61/12,093.66
  6. Step 6: Final answer
    x = 9,367.75

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1.5x scale

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.