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Finding the Fourth Proportional to 7,089.73, 9,785.70 and 4,850.80

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Solution

The fourth proportional to 7,089.73, 9,785.70 and 4,850.80 is: 6,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.73 : 9,785.70 = 4,850.80 : x
  2. Step 2: Convert to fraction form
    7,089.73/9,785.70 = 4,850.80/x
  3. Step 3: Cross multiply
    7,089.73x = 9,785.70 × 4,850.80
  4. Step 4: Simplify right side
    7,089.73x = 47,468,473.56
  5. Step 5: Solve for x
    x = 47,468,473.56/7,089.73
  6. Step 6: Final answer
    x = 6,695.39

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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.