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Finding the Fourth Proportional to 12,093.92, 16,684.84 and 6,986.06

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Solution

The fourth proportional to 12,093.92, 16,684.84 and 6,986.06 is: 9,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.92 : 16,684.84 = 6,986.06 : x
  2. Step 2: Convert to fraction form
    12,093.92/16,684.84 = 6,986.06/x
  3. Step 3: Cross multiply
    12,093.92x = 16,684.84 × 6,986.06
  4. Step 4: Simplify right side
    12,093.92x = 116,561,293.33
  5. Step 5: Solve for x
    x = 116,561,293.33/12,093.92
  6. Step 6: Final answer
    x = 9,638.01

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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.