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Finding the Fourth Proportional to 5,169.44, 7,754.16 and 1,706.68

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Solution

The fourth proportional to 5,169.44, 7,754.16 and 1,706.68 is: 2,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.44 : 7,754.16 = 1,706.68 : x
  2. Step 2: Convert to fraction form
    5,169.44/7,754.16 = 1,706.68/x
  3. Step 3: Cross multiply
    5,169.44x = 7,754.16 × 1,706.68
  4. Step 4: Simplify right side
    5,169.44x = 13,233,869.79
  5. Step 5: Solve for x
    x = 13,233,869.79/5,169.44
  6. Step 6: Final answer
    x = 2,560.02

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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.