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Finding the Fourth Proportional to 6,057.86, 8,363.96 and 4,464.69

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Solution

The fourth proportional to 6,057.86, 8,363.96 and 4,464.69 is: 6,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.86 : 8,363.96 = 4,464.69 : x
  2. Step 2: Convert to fraction form
    6,057.86/8,363.96 = 4,464.69/x
  3. Step 3: Cross multiply
    6,057.86x = 8,363.96 × 4,464.69
  4. Step 4: Simplify right side
    6,057.86x = 37,342,451.63
  5. Step 5: Solve for x
    x = 37,342,451.63/6,057.86
  6. Step 6: Final answer
    x = 6,164.30

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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.