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Finding the Fourth Proportional to 6,401.92, 8,842.00 and 4,273.74

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Solution

The fourth proportional to 6,401.92, 8,842.00 and 4,273.74 is: 5,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.92 : 8,842.00 = 4,273.74 : x
  2. Step 2: Convert to fraction form
    6,401.92/8,842.00 = 4,273.74/x
  3. Step 3: Cross multiply
    6,401.92x = 8,842.00 × 4,273.74
  4. Step 4: Simplify right side
    6,401.92x = 37,788,441.87
  5. Step 5: Solve for x
    x = 37,788,441.87/6,401.92
  6. Step 6: Final answer
    x = 5,902.68

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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.