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Finding the Fourth Proportional to 7,737.94, 10,706.49 and 6,745.30

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Solution

The fourth proportional to 7,737.94, 10,706.49 and 6,745.30 is: 9,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.94 : 10,706.49 = 6,745.30 : x
  2. Step 2: Convert to fraction form
    7,737.94/10,706.49 = 6,745.30/x
  3. Step 3: Cross multiply
    7,737.94x = 10,706.49 × 6,745.30
  4. Step 4: Simplify right side
    7,737.94x = 72,218,487.00
  5. Step 5: Solve for x
    x = 72,218,487.00/7,737.94
  6. Step 6: Final answer
    x = 9,333.04

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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.