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Finding the Fourth Proportional to 6,214.86, 8,572.23 and 5,949.18

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Solution

The fourth proportional to 6,214.86, 8,572.23 and 5,949.18 is: 8,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 8,572.23 = 5,949.18 : x
  2. Step 2: Convert to fraction form
    6,214.86/8,572.23 = 5,949.18/x
  3. Step 3: Cross multiply
    6,214.86x = 8,572.23 × 5,949.18
  4. Step 4: Simplify right side
    6,214.86x = 50,997,739.27
  5. Step 5: Solve for x
    x = 50,997,739.27/6,214.86
  6. Step 6: Final answer
    x = 8,205.77

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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.