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Finding the Fourth Proportional to 7,792.68, 11,686.92 and 2,244.56

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Solution

The fourth proportional to 7,792.68, 11,686.92 and 2,244.56 is: 3,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.68 : 11,686.92 = 2,244.56 : x
  2. Step 2: Convert to fraction form
    7,792.68/11,686.92 = 2,244.56/x
  3. Step 3: Cross multiply
    7,792.68x = 11,686.92 × 2,244.56
  4. Step 4: Simplify right side
    7,792.68x = 26,231,993.16
  5. Step 5: Solve for x
    x = 26,231,993.16/7,792.68
  6. Step 6: Final answer
    x = 3,366.24

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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.