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Finding the Fourth Proportional to 6,744.52, 9,307.52 and 3,912.04

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Solution

The fourth proportional to 6,744.52, 9,307.52 and 3,912.04 is: 5,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.52 : 9,307.52 = 3,912.04 : x
  2. Step 2: Convert to fraction form
    6,744.52/9,307.52 = 3,912.04/x
  3. Step 3: Cross multiply
    6,744.52x = 9,307.52 × 3,912.04
  4. Step 4: Simplify right side
    6,744.52x = 36,411,390.54
  5. Step 5: Solve for x
    x = 36,411,390.54/6,744.52
  6. Step 6: Final answer
    x = 5,398.66

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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.