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Finding the Fourth Proportional to 9,125.94, 13,689 and 5,227.68

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Solution

The fourth proportional to 9,125.94, 13,689 and 5,227.68 is: 7,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.94 : 13,689 = 5,227.68 : x
  2. Step 2: Convert to fraction form
    9,125.94/13,689 = 5,227.68/x
  3. Step 3: Cross multiply
    9,125.94x = 13,689 × 5,227.68
  4. Step 4: Simplify right side
    9,125.94x = 71,561,711.52
  5. Step 5: Solve for x
    x = 71,561,711.52/9,125.94
  6. Step 6: Final answer
    x = 7,841.57

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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.