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Finding the Fourth Proportional to 4,941.14, 7,402.11 and 4,415.34

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Solution

The fourth proportional to 4,941.14, 7,402.11 and 4,415.34 is: 6,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.14 : 7,402.11 = 4,415.34 : x
  2. Step 2: Convert to fraction form
    4,941.14/7,402.11 = 4,415.34/x
  3. Step 3: Cross multiply
    4,941.14x = 7,402.11 × 4,415.34
  4. Step 4: Simplify right side
    4,941.14x = 32,682,832.37
  5. Step 5: Solve for x
    x = 32,682,832.37/4,941.14
  6. Step 6: Final answer
    x = 6,614.44

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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.