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Finding the Fourth Proportional to 4,602.74, 6,874.79 and 4,163.31

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Solution

The fourth proportional to 4,602.74, 6,874.79 and 4,163.31 is: 6,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.74 : 6,874.79 = 4,163.31 : x
  2. Step 2: Convert to fraction form
    4,602.74/6,874.79 = 4,163.31/x
  3. Step 3: Cross multiply
    4,602.74x = 6,874.79 × 4,163.31
  4. Step 4: Simplify right side
    4,602.74x = 28,621,861.14
  5. Step 5: Solve for x
    x = 28,621,861.14/4,602.74
  6. Step 6: Final answer
    x = 6,218.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.