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Finding the Fourth Proportional to 6,229.43, 8,655.60 and 6,164.43

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Solution

The fourth proportional to 6,229.43, 8,655.60 and 6,164.43 is: 8,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.43 : 8,655.60 = 6,164.43 : x
  2. Step 2: Convert to fraction form
    6,229.43/8,655.60 = 6,164.43/x
  3. Step 3: Cross multiply
    6,229.43x = 8,655.60 × 6,164.43
  4. Step 4: Simplify right side
    6,229.43x = 53,356,840.31
  5. Step 5: Solve for x
    x = 53,356,840.31/6,229.43
  6. Step 6: Final answer
    x = 8,565.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.