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Finding the Fourth Proportional to 7,792.94, 11,689.45 and 1,949.54

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Solution

The fourth proportional to 7,792.94, 11,689.45 and 1,949.54 is: 2,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.94 : 11,689.45 = 1,949.54 : x
  2. Step 2: Convert to fraction form
    7,792.94/11,689.45 = 1,949.54/x
  3. Step 3: Cross multiply
    7,792.94x = 11,689.45 × 1,949.54
  4. Step 4: Simplify right side
    7,792.94x = 22,788,987.03
  5. Step 5: Solve for x
    x = 22,788,987.03/7,792.94
  6. Step 6: Final answer
    x = 2,924.31

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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.