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Finding the Fourth Proportional to 7,792.95, 11,689.44 and 1,949.55

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Solution

The fourth proportional to 7,792.95, 11,689.44 and 1,949.55 is: 2,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.95 : 11,689.44 = 1,949.55 : x
  2. Step 2: Convert to fraction form
    7,792.95/11,689.44 = 1,949.55/x
  3. Step 3: Cross multiply
    7,792.95x = 11,689.44 × 1,949.55
  4. Step 4: Simplify right side
    7,792.95x = 22,789,147.75
  5. Step 5: Solve for x
    x = 22,789,147.75/7,792.95
  6. Step 6: Final answer
    x = 2,924.33

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Similar ratio
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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.