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Finding the Fourth Proportional to 7,734.03, 10,672.99 and 4,197.24

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Solution

The fourth proportional to 7,734.03, 10,672.99 and 4,197.24 is: 5,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.03 : 10,672.99 = 4,197.24 : x
  2. Step 2: Convert to fraction form
    7,734.03/10,672.99 = 4,197.24/x
  3. Step 3: Cross multiply
    7,734.03x = 10,672.99 × 4,197.24
  4. Step 4: Simplify right side
    7,734.03x = 44,797,100.55
  5. Step 5: Solve for x
    x = 44,797,100.55/7,734.03
  6. Step 6: Final answer
    x = 5,792.21

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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.