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Finding the Fourth Proportional to 5,914.74, 8,163.10 and 3,397.26

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Solution

The fourth proportional to 5,914.74, 8,163.10 and 3,397.26 is: 4,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.74 : 8,163.10 = 3,397.26 : x
  2. Step 2: Convert to fraction form
    5,914.74/8,163.10 = 3,397.26/x
  3. Step 3: Cross multiply
    5,914.74x = 8,163.10 × 3,397.26
  4. Step 4: Simplify right side
    5,914.74x = 27,732,173.11
  5. Step 5: Solve for x
    x = 27,732,173.11/5,914.74
  6. Step 6: Final answer
    x = 4,688.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.