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Finding the Fourth Proportional to 6,078.62, 9,102.15 and 5,206.73

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Solution

The fourth proportional to 6,078.62, 9,102.15 and 5,206.73 is: 7,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.62 : 9,102.15 = 5,206.73 : x
  2. Step 2: Convert to fraction form
    6,078.62/9,102.15 = 5,206.73/x
  3. Step 3: Cross multiply
    6,078.62x = 9,102.15 × 5,206.73
  4. Step 4: Simplify right side
    6,078.62x = 47,392,437.47
  5. Step 5: Solve for x
    x = 47,392,437.47/6,078.62
  6. Step 6: Final answer
    x = 7,796.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.