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Finding the Fourth Proportional to 11,966.92, 16,514.05 and 6,661.62

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Solution

The fourth proportional to 11,966.92, 16,514.05 and 6,661.62 is: 9,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.92 : 16,514.05 = 6,661.62 : x
  2. Step 2: Convert to fraction form
    11,966.92/16,514.05 = 6,661.62/x
  3. Step 3: Cross multiply
    11,966.92x = 16,514.05 × 6,661.62
  4. Step 4: Simplify right side
    11,966.92x = 110,010,325.76
  5. Step 5: Solve for x
    x = 110,010,325.76/11,966.92
  6. Step 6: Final answer
    x = 9,192.87

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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.