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Finding the Fourth Proportional to 12,364.30, 18,542.85 and 6,820.30

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Solution

The fourth proportional to 12,364.30, 18,542.85 and 6,820.30 is: 10,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.30 : 18,542.85 = 6,820.30 : x
  2. Step 2: Convert to fraction form
    12,364.30/18,542.85 = 6,820.30/x
  3. Step 3: Cross multiply
    12,364.30x = 18,542.85 × 6,820.30
  4. Step 4: Simplify right side
    12,364.30x = 126,467,799.86
  5. Step 5: Solve for x
    x = 126,467,799.86/12,364.30
  6. Step 6: Final answer
    x = 10,228.46

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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.