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Finding the Fourth Proportional to 7,099.57, 9,794.82 and 4,114.32

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Solution

The fourth proportional to 7,099.57, 9,794.82 and 4,114.32 is: 5,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.57 : 9,794.82 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    7,099.57/9,794.82 = 4,114.32/x
  3. Step 3: Cross multiply
    7,099.57x = 9,794.82 × 4,114.32
  4. Step 4: Simplify right side
    7,099.57x = 40,299,023.82
  5. Step 5: Solve for x
    x = 40,299,023.82/7,099.57
  6. Step 6: Final answer
    x = 5,676.26

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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.