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Finding the Fourth Proportional to 7,737.42, 10,680.08 and 4,942.92

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Solution

The fourth proportional to 7,737.42, 10,680.08 and 4,942.92 is: 6,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.42 : 10,680.08 = 4,942.92 : x
  2. Step 2: Convert to fraction form
    7,737.42/10,680.08 = 4,942.92/x
  3. Step 3: Cross multiply
    7,737.42x = 10,680.08 × 4,942.92
  4. Step 4: Simplify right side
    7,737.42x = 52,790,756.32
  5. Step 5: Solve for x
    x = 52,790,756.32/7,737.42
  6. Step 6: Final answer
    x = 6,822.79

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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.