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Finding the Fourth Proportional to 6,416.80, 9,625.20 and 4,229.80

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Solution

The fourth proportional to 6,416.80, 9,625.20 and 4,229.80 is: 6,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.80 : 9,625.20 = 4,229.80 : x
  2. Step 2: Convert to fraction form
    6,416.80/9,625.20 = 4,229.80/x
  3. Step 3: Cross multiply
    6,416.80x = 9,625.20 × 4,229.80
  4. Step 4: Simplify right side
    6,416.80x = 40,712,670.96
  5. Step 5: Solve for x
    x = 40,712,670.96/6,416.80
  6. Step 6: Final answer
    x = 6,344.70

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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.