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Finding the Fourth Proportional to 9,305.75, 12,842.03 and 5,056.86

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Solution

The fourth proportional to 9,305.75, 12,842.03 and 5,056.86 is: 6,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.75 : 12,842.03 = 5,056.86 : x
  2. Step 2: Convert to fraction form
    9,305.75/12,842.03 = 5,056.86/x
  3. Step 3: Cross multiply
    9,305.75x = 12,842.03 × 5,056.86
  4. Step 4: Simplify right side
    9,305.75x = 64,940,380.18
  5. Step 5: Solve for x
    x = 64,940,380.18/9,305.75
  6. Step 6: Final answer
    x = 6,978.52

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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.