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Finding the Fourth Proportional to 12,211.32, 16,852.02 and 7,965.16

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Solution

The fourth proportional to 12,211.32, 16,852.02 and 7,965.16 is: 10,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.32 : 16,852.02 = 7,965.16 : x
  2. Step 2: Convert to fraction form
    12,211.32/16,852.02 = 7,965.16/x
  3. Step 3: Cross multiply
    12,211.32x = 16,852.02 × 7,965.16
  4. Step 4: Simplify right side
    12,211.32x = 134,229,035.62
  5. Step 5: Solve for x
    x = 134,229,035.62/12,211.32
  6. Step 6: Final answer
    x = 10,992.18

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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.