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Finding the Fourth Proportional to 12,532.72, 18,794.22 and 6,686.14

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Solution

The fourth proportional to 12,532.72, 18,794.22 and 6,686.14 is: 10,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.72 : 18,794.22 = 6,686.14 : x
  2. Step 2: Convert to fraction form
    12,532.72/18,794.22 = 6,686.14/x
  3. Step 3: Cross multiply
    12,532.72x = 18,794.22 × 6,686.14
  4. Step 4: Simplify right side
    12,532.72x = 125,660,786.11
  5. Step 5: Solve for x
    x = 125,660,786.11/12,532.72
  6. Step 6: Final answer
    x = 10,026.62

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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.