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Finding the Fourth Proportional to 6,640.22, 9,999.86 and 5,784.86

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Solution

The fourth proportional to 6,640.22, 9,999.86 and 5,784.86 is: 8,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.22 : 9,999.86 = 5,784.86 : x
  2. Step 2: Convert to fraction form
    6,640.22/9,999.86 = 5,784.86/x
  3. Step 3: Cross multiply
    6,640.22x = 9,999.86 × 5,784.86
  4. Step 4: Simplify right side
    6,640.22x = 57,847,790.12
  5. Step 5: Solve for x
    x = 57,847,790.12/6,640.22
  6. Step 6: Final answer
    x = 8,711.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.