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Finding the Fourth Proportional to 5,194.18, 7,792.10 and 2,074.18

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Solution

The fourth proportional to 5,194.18, 7,792.10 and 2,074.18 is: 3,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.18 : 7,792.10 = 2,074.18 : x
  2. Step 2: Convert to fraction form
    5,194.18/7,792.10 = 2,074.18/x
  3. Step 3: Cross multiply
    5,194.18x = 7,792.10 × 2,074.18
  4. Step 4: Simplify right side
    5,194.18x = 16,162,217.98
  5. Step 5: Solve for x
    x = 16,162,217.98/5,194.18
  6. Step 6: Final answer
    x = 3,111.60

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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.