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Finding the Fourth Proportional to 7,792.85, 11,685.12 and 3,405.17

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Solution

The fourth proportional to 7,792.85, 11,685.12 and 3,405.17 is: 5,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.85 : 11,685.12 = 3,405.17 : x
  2. Step 2: Convert to fraction form
    7,792.85/11,685.12 = 3,405.17/x
  3. Step 3: Cross multiply
    7,792.85x = 11,685.12 × 3,405.17
  4. Step 4: Simplify right side
    7,792.85x = 39,789,820.07
  5. Step 5: Solve for x
    x = 39,789,820.07/7,792.85
  6. Step 6: Final answer
    x = 5,105.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.