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Finding the Fourth Proportional to 12,314.13, 18,472.78 and 5,649.02

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Solution

The fourth proportional to 12,314.13, 18,472.78 and 5,649.02 is: 8,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.13 : 18,472.78 = 5,649.02 : x
  2. Step 2: Convert to fraction form
    12,314.13/18,472.78 = 5,649.02/x
  3. Step 3: Cross multiply
    12,314.13x = 18,472.78 × 5,649.02
  4. Step 4: Simplify right side
    12,314.13x = 104,353,103.68
  5. Step 5: Solve for x
    x = 104,353,103.68/12,314.13
  6. Step 6: Final answer
    x = 8,474.26

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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.