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Finding the Fourth Proportional to 6,416.52, 8,855.22 and 4,057.80

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Solution

The fourth proportional to 6,416.52, 8,855.22 and 4,057.80 is: 5,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.52 : 8,855.22 = 4,057.80 : x
  2. Step 2: Convert to fraction form
    6,416.52/8,855.22 = 4,057.80/x
  3. Step 3: Cross multiply
    6,416.52x = 8,855.22 × 4,057.80
  4. Step 4: Simplify right side
    6,416.52x = 35,932,711.72
  5. Step 5: Solve for x
    x = 35,932,711.72/6,416.52
  6. Step 6: Final answer
    x = 5,600.03

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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.