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Finding the Fourth Proportional to 4,662.01, 6,986.09 and 3,677.22

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Solution

The fourth proportional to 4,662.01, 6,986.09 and 3,677.22 is: 5,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.01 : 6,986.09 = 3,677.22 : x
  2. Step 2: Convert to fraction form
    4,662.01/6,986.09 = 3,677.22/x
  3. Step 3: Cross multiply
    4,662.01x = 6,986.09 × 3,677.22
  4. Step 4: Simplify right side
    4,662.01x = 25,689,389.87
  5. Step 5: Solve for x
    x = 25,689,389.87/4,662.01
  6. Step 6: Final answer
    x = 5,510.37

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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.