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Finding the Fourth Proportional to 7,097.75, 9,794.96 and 4,446.71

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Solution

The fourth proportional to 7,097.75, 9,794.96 and 4,446.71 is: 6,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.75 : 9,794.96 = 4,446.71 : x
  2. Step 2: Convert to fraction form
    7,097.75/9,794.96 = 4,446.71/x
  3. Step 3: Cross multiply
    7,097.75x = 9,794.96 × 4,446.71
  4. Step 4: Simplify right side
    7,097.75x = 43,555,346.58
  5. Step 5: Solve for x
    x = 43,555,346.58/7,097.75
  6. Step 6: Final answer
    x = 6,136.50

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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.