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Finding the Fourth Proportional to 12,093.88, 16,689.48 and 6,788.68

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Solution

The fourth proportional to 12,093.88, 16,689.48 and 6,788.68 is: 9,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.88 : 16,689.48 = 6,788.68 : x
  2. Step 2: Convert to fraction form
    12,093.88/16,689.48 = 6,788.68/x
  3. Step 3: Cross multiply
    12,093.88x = 16,689.48 × 6,788.68
  4. Step 4: Simplify right side
    12,093.88x = 113,299,539.09
  5. Step 5: Solve for x
    x = 113,299,539.09/12,093.88
  6. Step 6: Final answer
    x = 9,368.34

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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.