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Finding the Fourth Proportional to 7,672.75, 10,542.50 and 6,098.11

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Solution

The fourth proportional to 7,672.75, 10,542.50 and 6,098.11 is: 8,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.75 : 10,542.50 = 6,098.11 : x
  2. Step 2: Convert to fraction form
    7,672.75/10,542.50 = 6,098.11/x
  3. Step 3: Cross multiply
    7,672.75x = 10,542.50 × 6,098.11
  4. Step 4: Simplify right side
    7,672.75x = 64,289,324.68
  5. Step 5: Solve for x
    x = 64,289,324.68/7,672.75
  6. Step 6: Final answer
    x = 8,378.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.