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Finding the Fourth Proportional to 12,178.96, 16,806.92 and 6,589.96

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Solution

The fourth proportional to 12,178.96, 16,806.92 and 6,589.96 is: 9,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.96 : 16,806.92 = 6,589.96 : x
  2. Step 2: Convert to fraction form
    12,178.96/16,806.92 = 6,589.96/x
  3. Step 3: Cross multiply
    12,178.96x = 16,806.92 × 6,589.96
  4. Step 4: Simplify right side
    12,178.96x = 110,756,930.52
  5. Step 5: Solve for x
    x = 110,756,930.52/12,178.96
  6. Step 6: Final answer
    x = 9,094.12

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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.