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Finding the Fourth Proportional to 7,099.57, 9,797.96 and 3,913.43

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Solution

The fourth proportional to 7,099.57, 9,797.96 and 3,913.43 is: 5,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.57 : 9,797.96 = 3,913.43 : x
  2. Step 2: Convert to fraction form
    7,099.57/9,797.96 = 3,913.43/x
  3. Step 3: Cross multiply
    7,099.57x = 9,797.96 × 3,913.43
  4. Step 4: Simplify right side
    7,099.57x = 38,343,609.77
  5. Step 5: Solve for x
    x = 38,343,609.77/7,099.57
  6. Step 6: Final answer
    x = 5,400.84

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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.