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Finding the Fourth Proportional to 7,766.53, 11,704.46 and 7,027.14

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Solution

The fourth proportional to 7,766.53, 11,704.46 and 7,027.14 is: 10,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.53 : 11,704.46 = 7,027.14 : x
  2. Step 2: Convert to fraction form
    7,766.53/11,704.46 = 7,027.14/x
  3. Step 3: Cross multiply
    7,766.53x = 11,704.46 × 7,027.14
  4. Step 4: Simplify right side
    7,766.53x = 82,248,841.73
  5. Step 5: Solve for x
    x = 82,248,841.73/7,766.53
  6. Step 6: Final answer
    x = 10,590.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.