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Finding the Fourth Proportional to 6,471.96, 8,932.32 and 4,114.86

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Solution

The fourth proportional to 6,471.96, 8,932.32 and 4,114.86 is: 5,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.96 : 8,932.32 = 4,114.86 : x
  2. Step 2: Convert to fraction form
    6,471.96/8,932.32 = 4,114.86/x
  3. Step 3: Cross multiply
    6,471.96x = 8,932.32 × 4,114.86
  4. Step 4: Simplify right side
    6,471.96x = 36,755,246.28
  5. Step 5: Solve for x
    x = 36,755,246.28/6,471.96
  6. Step 6: Final answer
    x = 5,679.15

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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.