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Finding the Fourth Proportional to 5,254.26, 7,874.27 and 2,914.14

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Solution

The fourth proportional to 5,254.26, 7,874.27 and 2,914.14 is: 4,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.26 : 7,874.27 = 2,914.14 : x
  2. Step 2: Convert to fraction form
    5,254.26/7,874.27 = 2,914.14/x
  3. Step 3: Cross multiply
    5,254.26x = 7,874.27 × 2,914.14
  4. Step 4: Simplify right side
    5,254.26x = 22,946,725.18
  5. Step 5: Solve for x
    x = 22,946,725.18/5,254.26
  6. Step 6: Final answer
    x = 4,367.26

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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.