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Finding the Fourth Proportional to 6,144.66, 9,209.69 and 3,542.22

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Solution

The fourth proportional to 6,144.66, 9,209.69 and 3,542.22 is: 5,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.66 : 9,209.69 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    6,144.66/9,209.69 = 3,542.22/x
  3. Step 3: Cross multiply
    6,144.66x = 9,209.69 × 3,542.22
  4. Step 4: Simplify right side
    6,144.66x = 32,622,748.11
  5. Step 5: Solve for x
    x = 32,622,748.11/6,144.66
  6. Step 6: Final answer
    x = 5,309.12

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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.