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Finding the Fourth Proportional to 7,737.42, 10,678.21 and 4,334.73

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Solution

The fourth proportional to 7,737.42, 10,678.21 and 4,334.73 is: 5,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.42 : 10,678.21 = 4,334.73 : x
  2. Step 2: Convert to fraction form
    7,737.42/10,678.21 = 4,334.73/x
  3. Step 3: Cross multiply
    7,737.42x = 10,678.21 × 4,334.73
  4. Step 4: Simplify right side
    7,737.42x = 46,287,135.56
  5. Step 5: Solve for x
    x = 46,287,135.56/7,737.42
  6. Step 6: Final answer
    x = 5,982.24

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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.