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Finding the Fourth Proportional to 6,744.37, 9,307.19 and 3,760.24

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Solution

The fourth proportional to 6,744.37, 9,307.19 and 3,760.24 is: 5,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.37 : 9,307.19 = 3,760.24 : x
  2. Step 2: Convert to fraction form
    6,744.37/9,307.19 = 3,760.24/x
  3. Step 3: Cross multiply
    6,744.37x = 9,307.19 × 3,760.24
  4. Step 4: Simplify right side
    6,744.37x = 34,997,240.16
  5. Step 5: Solve for x
    x = 34,997,240.16/6,744.37
  6. Step 6: Final answer
    x = 5,189.11

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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.