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Finding the Fourth Proportional to 5,169.53, 7,755.41 and 1,706.51

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Solution

The fourth proportional to 5,169.53, 7,755.41 and 1,706.51 is: 2,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.53 : 7,755.41 = 1,706.51 : x
  2. Step 2: Convert to fraction form
    5,169.53/7,755.41 = 1,706.51/x
  3. Step 3: Cross multiply
    5,169.53x = 7,755.41 × 1,706.51
  4. Step 4: Simplify right side
    5,169.53x = 13,234,684.72
  5. Step 5: Solve for x
    x = 13,234,684.72/5,169.53
  6. Step 6: Final answer
    x = 2,560.13

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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.