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Finding the Fourth Proportional to 9,224.87, 13,834.08 and 5,709.47

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Solution

The fourth proportional to 9,224.87, 13,834.08 and 5,709.47 is: 8,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.87 : 13,834.08 = 5,709.47 : x
  2. Step 2: Convert to fraction form
    9,224.87/13,834.08 = 5,709.47/x
  3. Step 3: Cross multiply
    9,224.87x = 13,834.08 × 5,709.47
  4. Step 4: Simplify right side
    9,224.87x = 78,985,195.57
  5. Step 5: Solve for x
    x = 78,985,195.57/9,224.87
  6. Step 6: Final answer
    x = 8,562.21

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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.