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Finding the Fourth Proportional to 8,109.99, 12,173.49 and 5,151.87

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Solution

The fourth proportional to 8,109.99, 12,173.49 and 5,151.87 is: 7,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.99 : 12,173.49 = 5,151.87 : x
  2. Step 2: Convert to fraction form
    8,109.99/12,173.49 = 5,151.87/x
  3. Step 3: Cross multiply
    8,109.99x = 12,173.49 × 5,151.87
  4. Step 4: Simplify right side
    8,109.99x = 62,716,237.93
  5. Step 5: Solve for x
    x = 62,716,237.93/8,109.99
  6. Step 6: Final answer
    x = 7,733.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.