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Finding the Fourth Proportional to 6,823.06, 9,412.62 and 4,432.86

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Solution

The fourth proportional to 6,823.06, 9,412.62 and 4,432.86 is: 6,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.06 : 9,412.62 = 4,432.86 : x
  2. Step 2: Convert to fraction form
    6,823.06/9,412.62 = 4,432.86/x
  3. Step 3: Cross multiply
    6,823.06x = 9,412.62 × 4,432.86
  4. Step 4: Simplify right side
    6,823.06x = 41,724,826.69
  5. Step 5: Solve for x
    x = 41,724,826.69/6,823.06
  6. Step 6: Final answer
    x = 6,115.27

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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.