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Finding the Fourth Proportional to 12,194.34, 16,828.65 and 6,889.74

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Solution

The fourth proportional to 12,194.34, 16,828.65 and 6,889.74 is: 9,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.34 : 16,828.65 = 6,889.74 : x
  2. Step 2: Convert to fraction form
    12,194.34/16,828.65 = 6,889.74/x
  3. Step 3: Cross multiply
    12,194.34x = 16,828.65 × 6,889.74
  4. Step 4: Simplify right side
    12,194.34x = 115,945,023.05
  5. Step 5: Solve for x
    x = 115,945,023.05/12,194.34
  6. Step 6: Final answer
    x = 9,508.10

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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.