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Finding the Fourth Proportional to 7,099.10, 9,795.87 and 4,227.44

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Solution

The fourth proportional to 7,099.10, 9,795.87 and 4,227.44 is: 5,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.10 : 9,795.87 = 4,227.44 : x
  2. Step 2: Convert to fraction form
    7,099.10/9,795.87 = 4,227.44/x
  3. Step 3: Cross multiply
    7,099.10x = 9,795.87 × 4,227.44
  4. Step 4: Simplify right side
    7,099.10x = 41,411,452.67
  5. Step 5: Solve for x
    x = 41,411,452.67/7,099.10
  6. Step 6: Final answer
    x = 5,833.34

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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.