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Finding the Fourth Proportional to 9,960.57, 13,742.82 and 6,181.92

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Solution

The fourth proportional to 9,960.57, 13,742.82 and 6,181.92 is: 8,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.57 : 13,742.82 = 6,181.92 : x
  2. Step 2: Convert to fraction form
    9,960.57/13,742.82 = 6,181.92/x
  3. Step 3: Cross multiply
    9,960.57x = 13,742.82 × 6,181.92
  4. Step 4: Simplify right side
    9,960.57x = 84,957,013.81
  5. Step 5: Solve for x
    x = 84,957,013.81/9,960.57
  6. Step 6: Final answer
    x = 8,529.33

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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.