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Finding the Fourth Proportional to 16,603.80, 24,906.24 and 6,742.86

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Solution

The fourth proportional to 16,603.80, 24,906.24 and 6,742.86 is: 10,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.80 : 24,906.24 = 6,742.86 : x
  2. Step 2: Convert to fraction form
    16,603.80/24,906.24 = 6,742.86/x
  3. Step 3: Cross multiply
    16,603.80x = 24,906.24 × 6,742.86
  4. Step 4: Simplify right side
    16,603.80x = 167,939,289.45
  5. Step 5: Solve for x
    x = 167,939,289.45/16,603.80
  6. Step 6: Final answer
    x = 10,114.51

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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.