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Finding the Fourth Proportional to 6,180.86, 8,523.20 and 4,294.58

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Solution

The fourth proportional to 6,180.86, 8,523.20 and 4,294.58 is: 5,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.86 : 8,523.20 = 4,294.58 : x
  2. Step 2: Convert to fraction form
    6,180.86/8,523.20 = 4,294.58/x
  3. Step 3: Cross multiply
    6,180.86x = 8,523.20 × 4,294.58
  4. Step 4: Simplify right side
    6,180.86x = 36,603,542.78
  5. Step 5: Solve for x
    x = 36,603,542.78/6,180.86
  6. Step 6: Final answer
    x = 5,922.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.