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Finding the Fourth Proportional to 7,097.07, 9,793.25 and 4,113.87

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Solution

The fourth proportional to 7,097.07, 9,793.25 and 4,113.87 is: 5,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.07 : 9,793.25 = 4,113.87 : x
  2. Step 2: Convert to fraction form
    7,097.07/9,793.25 = 4,113.87/x
  3. Step 3: Cross multiply
    7,097.07x = 9,793.25 × 4,113.87
  4. Step 4: Simplify right side
    7,097.07x = 40,288,136.81
  5. Step 5: Solve for x
    x = 40,288,136.81/7,097.07
  6. Step 6: Final answer
    x = 5,676.73

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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.