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Finding the Fourth Proportional to 7,792.73, 11,689.09 and 1,949.34

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Solution

The fourth proportional to 7,792.73, 11,689.09 and 1,949.34 is: 2,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.73 : 11,689.09 = 1,949.34 : x
  2. Step 2: Convert to fraction form
    7,792.73/11,689.09 = 1,949.34/x
  3. Step 3: Cross multiply
    7,792.73x = 11,689.09 × 1,949.34
  4. Step 4: Simplify right side
    7,792.73x = 22,785,952.26
  5. Step 5: Solve for x
    x = 22,785,952.26/7,792.73
  6. Step 6: Final answer
    x = 2,924.00

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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.