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Finding the Fourth Proportional to 5,922.53, 8,830.86 and 5,709.09

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Solution

The fourth proportional to 5,922.53, 8,830.86 and 5,709.09 is: 8,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.53 : 8,830.86 = 5,709.09 : x
  2. Step 2: Convert to fraction form
    5,922.53/8,830.86 = 5,709.09/x
  3. Step 3: Cross multiply
    5,922.53x = 8,830.86 × 5,709.09
  4. Step 4: Simplify right side
    5,922.53x = 50,416,174.52
  5. Step 5: Solve for x
    x = 50,416,174.52/5,922.53
  6. Step 6: Final answer
    x = 8,512.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.