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Finding the Fourth Proportional to 6,704.80, 9,242.47 and 5,285.98

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Solution

The fourth proportional to 6,704.80, 9,242.47 and 5,285.98 is: 7,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.80 : 9,242.47 = 5,285.98 : x
  2. Step 2: Convert to fraction form
    6,704.80/9,242.47 = 5,285.98/x
  3. Step 3: Cross multiply
    6,704.80x = 9,242.47 × 5,285.98
  4. Step 4: Simplify right side
    6,704.80x = 48,855,511.57
  5. Step 5: Solve for x
    x = 48,855,511.57/6,704.80
  6. Step 6: Final answer
    x = 7,286.65

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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.