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Finding the Fourth Proportional to 18,649.92, 27,967.80 and 6,166.20

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Solution

The fourth proportional to 18,649.92, 27,967.80 and 6,166.20 is: 9,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.92 : 27,967.80 = 6,166.20 : x
  2. Step 2: Convert to fraction form
    18,649.92/27,967.80 = 6,166.20/x
  3. Step 3: Cross multiply
    18,649.92x = 27,967.80 × 6,166.20
  4. Step 4: Simplify right side
    18,649.92x = 172,455,048.36
  5. Step 5: Solve for x
    x = 172,455,048.36/18,649.92
  6. Step 6: Final answer
    x = 9,246.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.