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Finding the Fourth Proportional to 7,151.67, 10,730.60 and 3,867.09

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Solution

The fourth proportional to 7,151.67, 10,730.60 and 3,867.09 is: 5,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.67 : 10,730.60 = 3,867.09 : x
  2. Step 2: Convert to fraction form
    7,151.67/10,730.60 = 3,867.09/x
  3. Step 3: Cross multiply
    7,151.67x = 10,730.60 × 3,867.09
  4. Step 4: Simplify right side
    7,151.67x = 41,496,195.95
  5. Step 5: Solve for x
    x = 41,496,195.95/7,151.67
  6. Step 6: Final answer
    x = 5,802.31

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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.